10211110102100 has 36 divisors (see below), whose sum is σ = 22922181649500. Its totient is φ = 3943601141760.

The previous prime is 10211110102057. The next prime is 10211110102169. The reversal of 10211110102100 is 120101111201.

It can be written as a sum of positive squares in 6 ways, for example, as 914635925956 + 9296474176144 = 956366^2 + 3049012^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1760533325 + ... + 1760539124.

Almost surely, 2^{10211110102100} is an apocalyptic number.

10211110102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211110102100 is an abundant number, since it is smaller than the sum of its proper divisors (12711071547400).

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

10211110102100 is a wasteful number, since it uses less digits than its factorization.

10211110102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521072492 (or 3521072485 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10211110102100 its reverse (120101111201), we get a palindrome (10331211213301).

The spelling of 10211110102100 in words is "ten trillion, two hundred eleven billion, one hundred ten million, one hundred two thousand, one hundred".