10211100100100 has 36 divisors (see below), whose sum is σ = 22354176509364. Its totient is φ = 4048294548480.

The previous prime is 10211100100093. The next prime is 10211100100151. The reversal of 10211100100100 is 100100111201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3625337857024 + 6585762243076 = 1904032^2 + 2566274^2 .

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, 451807289 + ... + 451829888.

Almost surely, 2^{10211100100100} is an apocalyptic number.

10211100100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211100100100 is an abundant number, since it is smaller than the sum of its proper divisors (12143076409264).

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

10211100100100 is a wasteful number, since it uses less digits than its factorization.

10211100100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903637304 (or 903637297 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10211100100100 its reverse (100100111201), we get a palindrome (10311200211301).

The spelling of 10211100100100 in words is "ten trillion, two hundred eleven billion, one hundred million, one hundred thousand, one hundred".