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2101022121220 = 22511101174154311
BaseRepresentation
bin11110100100101110101…
…011010101110100000100
321102212002211210022221021
4132210232223111310010
5233410343130334340
64245110215400524
7304536200236561
oct36445653256404
97385084708837
102101022121220
11740047239770
1229b238083144
13123182a57a69
1473993579868
15399bbd17e4a
hex1e92ead5d04

2101022121220 has 96 divisors (see below), whose sum is σ = 4863788197632. Its totient is φ = 755995200000.

The previous prime is 2101022121199. The next prime is 2101022121251. The reversal of 2101022121220 is 221212201012.

It is a happy number.

It is a super-4 number, since 4×21010221212204 (a number of 50 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101022121194 and 2101022121203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38657865 + ... + 38712175.

It is an arithmetic number, because the mean of its divisors is an integer number (50664460392).

Almost surely, 22101022121220 is an apocalyptic number.

2101022121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101022121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431894098816).

2101022121220 is an abundant number, since it is smaller than the sum of its proper divisors (2762766076412).

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

2101022121220 is a wasteful number, since it uses less digits than its factorization.

2101022121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56173 (or 56171 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2101022121220 its reverse (221212201012), we get a palindrome (2322234322232).

The spelling of 2101022121220 in words is "two trillion, one hundred one billion, twenty-two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 1741 2020 2222 3482 4444 5555 6964 8705 11110 17410 19151 22220 34820 38302 54311 76604 95755 108622 175841 191510 217244 271555 351682 383020 543110 597421 703364 879205 1086220 1194842 1758410 1934251 2389684 2987105 3516820 3868502 5485411 5974210 7737004 9671255 10970822 11948420 19342510 21941644 27427055 38685020 54854110 60339521 94555451 109708220 120679042 189110902 241358084 301697605 378221804 472777255 603395210 945554510 1040109961 1206790420 1891109020 2080219922 4160439844 5200549805 9550100551 10401099610 19100201102 20802199220 38200402204 47750502755 95501005510 105051106061 191002011020 210102212122 420204424244 525255530305 1050511060610 2101022121220