10111111112100 has 144 divisors (see below), whose sum is σ = 30048132157568. Its totient is φ = 2623192335360.

The previous prime is 10111111112093. The next prime is 10111111112173. The reversal of 10111111112100 is 121111111101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151892424 + ... + 151958976.

Almost surely, 2^{10111111112100} is an apocalyptic number.

10111111112100 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 10111111112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15024066078784).

10111111112100 is an abundant number, since it is smaller than the sum of its proper divisors (19937021045468).

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

10111111112100 is a wasteful number, since it uses less digits than its factorization.

10111111112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80294 (or 80287 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 10111111112100 its reverse (121111111101), we get a palindrome (10232222223201).

Subtracting from 10111111112100 its reverse (121111111101), we obtain a palindrome (9990000000999).

The spelling of 10111111112100 in words is "ten trillion, one hundred eleven billion, one hundred eleven million, one hundred twelve thousand, one hundred".