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100212120201220 = 2255010606010061
BaseRepresentation
bin10110110010010001110011…
…110100111010100000000100
3111010211011222221220020012121
4112302101303310322200010
5101113333410232414340
6553044451254455324
730052041521122666
oct2662216364724004
9433734887806177
10100212120201220
1129a267a33689a5
12b2a5944364544
1343bbc68494301
141aa6414880536
15b8bb31d0994a
hex5b2473d3a804

100212120201220 has 12 divisors (see below), whose sum is σ = 210445452422604. Its totient is φ = 40084848080480.

The previous prime is 100212120201197. The next prime is 100212120201239. The reversal of 100212120201220 is 22102021212001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 47443634788356 + 52768485412864 = 6887934^2 + 7264192^2 .

It is a super-2 number, since 2×1002121202012202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100212120201194 and 100212120201203.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2505303005011 + ... + 2505303005050.

It is an arithmetic number, because the mean of its divisors is an integer number (17537121035217).

Almost surely, 2100212120201220 is an apocalyptic number.

100212120201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212120201220 is an abundant number, since it is smaller than the sum of its proper divisors (110233332221384).

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

100212120201220 is a wasteful number, since it uses less digits than its factorization.

100212120201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010606010070 (or 5010606010068 counting only the distinct ones).

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

Adding to 100212120201220 its reverse (22102021212001), we get a palindrome (122314141413221).

The spelling of 100212120201220 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 5010606010061 10021212020122 20042424040244 25053030050305 50106060100610 100212120201220