2102211012100 has 72 divisors (see below), whose sum is σ = 4996695581640. Its totient is φ = 764130232320.

The previous prime is 2102211012067. The next prime is 2102211012163. The reversal of 2102211012100 is 12101122012.

It can be written as a sum of positive squares in 12 ways, for example, as 622309565956 + 1479901446144 = 788866^2 + 1216512^2 .

It is a super-2 number, since 2×2102211012100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21271299 + ... + 21369898.

It is an arithmetic number, because the mean of its divisors is an integer number (69398549745).

Almost surely, 2^{2102211012100} is an apocalyptic number.

2102211012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102211012100 is an abundant number, since it is smaller than the sum of its proper divisors (2894484569540).

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

2102211012100 is a wasteful number, since it uses less digits than its factorization.

2102211012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42641257 (or 42641250 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2102211012100 its reverse (12101122012), we get a palindrome (2114312134112).

The spelling of 2102211012100 in words is "two trillion, one hundred two billion, two hundred eleven million, twelve thousand, one hundred".