10001211112100 has 36 divisors (see below), whose sum is σ = 23372061048084. Its totient is φ = 3692754871680.

The previous prime is 10001211112093. The next prime is 10001211112111. The reversal of 10001211112100 is 121111210001.

It can be written as a sum of positive squares in 6 ways, for example, as 2812838831104 + 7188372280996 = 1677152^2 + 2681114^2 .

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 11 ways as a sum of consecutive naturals, for example, 3846618359 + ... + 3846620958.

Almost surely, 2^{10001211112100} is an apocalyptic number.

10001211112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001211112100 is an abundant number, since it is smaller than the sum of its proper divisors (13370849935984).

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

10001211112100 is a wasteful number, since it uses less digits than its factorization.

10001211112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7693239344 (or 7693239337 counting only the distinct ones).

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

Adding to 10001211112100 its reverse (121111210001), we get a palindrome (10122322322101).

The spelling of 10001211112100 in words is "ten trillion, one billion, two hundred eleven million, one hundred twelve thousand, one hundred".