210002010112100 has 18 divisors (see below), whose sum is σ = 455704361943474. Its totient is φ = 84000804044800.

The previous prime is 210002010112091. The next prime is 210002010112121. The reversal of 210002010112100 is 1211010200012.

It can be written as a sum of positive squares in 3 ways, for example, as 40307566182976 + 169694443929124 = 6348824^2 + 13026682^2 .

It is a super-2 number, since 2×210002010112100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1050010050461 + ... + 1050010050660.

Almost surely, 2^{210002010112100} is an apocalyptic number.

210002010112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210002010112100 is an abundant number, since it is smaller than the sum of its proper divisors (245702351831374).

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

210002010112100 is a wasteful number, since it uses less digits than its factorization.

210002010112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100020101135 (or 2100020101128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 210002010112100 its reverse (1211010200012), we get a palindrome (211213020312112).

The spelling of 210002010112100 in words is "two hundred ten trillion, two billion, ten million, one hundred twelve thousand, one hundred".