10111100212100 has 144 divisors (see below), whose sum is σ = 23510743216128. Its totient is φ = 3765710108160.

The previous prime is 10111100212079. The next prime is 10111100212117. The reversal of 10111100212100 is 121200111101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15154742 + ... + 15807858.

It is an arithmetic number, because the mean of its divisors is an integer number (163269050112).

Almost surely, 2^{10111100212100} is an apocalyptic number.

10111100212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111100212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11755371608064).

10111100212100 is an abundant number, since it is smaller than the sum of its proper divisors (13399643004028).

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

10111100212100 is a wasteful number, since it uses less digits than its factorization.

10111100212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653334 (or 653327 counting only the distinct ones).

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

Adding to 10111100212100 its reverse (121200111101), we get a palindrome (10232300323201).

The spelling of 10111100212100 in words is "ten trillion, one hundred eleven billion, one hundred million, two hundred twelve thousand, one hundred".