10011012212100 has 144 divisors (see below), whose sum is σ = 30768934287168. Its totient is φ = 2504383119360.

The previous prime is 10011012212081. The next prime is 10011012212101. The reversal of 10011012212100 is 121221011001.

10011012212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10011012212101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1631277 + ... + 4762676.

It is an arithmetic number, because the mean of its divisors is an integer number (213673154772).

Almost surely, 2^{10011012212100} is an apocalyptic number.

10011012212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011012212100 is an abundant number, since it is smaller than the sum of its proper divisors (20757922075068).

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

10011012212100 is a wasteful number, since it uses less digits than its factorization.

10011012212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6394294 (or 6394287 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10011012212100 its reverse (121221011001), we get a palindrome (10132233223101).

The spelling of 10011012212100 in words is "ten trillion, eleven billion, twelve million, two hundred twelve thousand, one hundred".