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2101222003122 = 2321129387741299
BaseRepresentation
bin11110100100111010100…
…101110101000110110010
321102212121202220101100200
4132210322211311012302
5233411300313044442
64245142115500030
7304544145222624
oct36447245650662
97385552811320
102101222003122
1174013a050a20
1229b292bb7616
131231b52a0388
14739b1d2ac14
15399ce64c34c
hex1e93a9751b2

2101222003122 has 96 divisors (see below), whose sum is σ = 4989278548800. Its totient is φ = 633821880960.

The previous prime is 2101222003087. The next prime is 2101222003123. The reversal of 2101222003122 is 2213002221012.

2101222003122 is a `hidden beast` number, since 210 + 122 + 20 + 0 + 312 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2101222003095 and 2101222003104.

It is not an unprimeable number, because it can be changed into a prime (2101222003123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50857629 + ... + 50898927.

It is an arithmetic number, because the mean of its divisors is an integer number (51971651550).

Almost surely, 22101222003122 is an apocalyptic number.

2101222003122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101222003122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494639274400).

2101222003122 is an abundant number, since it is smaller than the sum of its proper divisors (2888056545678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101222003122 is a wasteful number, since it uses less digits than its factorization.

2101222003122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42488 (or 42485 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2101222003122 its reverse (2213002221012), we get a palindrome (4314224224134).

The spelling of 2101222003122 in words is "two trillion, one hundred one billion, two hundred twenty-two million, three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 293 586 877 879 1754 1758 2631 2637 3223 5262 5274 6446 7893 9647 9669 15786 19294 19338 28941 29007 41299 57882 58014 82598 86823 123897 173646 247794 256961 371691 454289 513922 743382 770883 908578 1362867 1541766 2312649 2725734 2826571 4088601 4625298 5653142 8177202 8479713 12100607 16959426 24201214 25439139 36219223 36301821 50878278 72438446 72603642 108657669 108905463 133106677 217315338 217810926 266213354 325973007 398411453 399320031 651946014 796822906 798640062 1195234359 1197960093 2390468718 2395920186 3585703077 7171406154 10612232339 21224464678 31836697017 63673394034 95510091051 116734555729 191020182102 233469111458 350203667187 700407334374 1050611001561 2101222003122