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100012222220121 = 355375110340249
BaseRepresentation
bin10110101111010111101000…
…111110101000011101011001
3111010010002000201120122100000
4112233113220332220131121
5101102100012342020441
6552412551451203213
730031434046250121
oct2657275076503531
9433102021518300
10100012222220121
1129959a44148042
12b273056a46509
1343a615c344863
141a9a890157c81
15b868327d82b6
hex5af5e8fa8759

100012222220121 has 48 divisors (see below), whose sum is σ = 152842461408000. Its totient is φ = 65329686864000.

The previous prime is 100012222220111. The next prime is 100012222220179. The reversal of 100012222220121 is 121022222210001.

It is a happy number.

100012222220121 is a `hidden beast` number, since 100 + 0 + 1 + 2 + 222 + 220 + 121 = 666.

It is not a de Polignac number, because 100012222220121 - 219 = 100012221695833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100012222220094 and 100012222220103.

It is not an unprimeable number, because it can be changed into a prime (100012222220111) 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, 4502005 + ... + 14842253.

It is an arithmetic number, because the mean of its divisors is an integer number (3184217946000).

Almost surely, 2100012222220121 is an apocalyptic number.

It is an amenable number.

100012222220121 is a deficient number, since it is larger than the sum of its proper divisors (52830239187879).

100012222220121 is an equidigital number, since it uses as much as digits as its factorization.

100012222220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10341068 (or 10341056 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100012222220121 its reverse (121022222210001), we get a palindrome (221034444430122).

The spelling of 100012222220121 in words is "one hundred trillion, twelve billion, two hundred twenty-two million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 27 53 81 159 243 477 751 1431 2253 4293 6759 12879 20277 39803 60831 119409 182493 358227 1074681 3224043 9672129 10340249 31020747 93062241 279186723 548033197 837560169 1644099591 2512680507 4932298773 7765526999 14796896319 23296580997 44390688957 69889742991 133172066871 209669228973 411572930947 629007686919 1234718792841 1887023060757 3704156378523 11112469135569 33337407406707 100012222220121