10111502100 has 144 divisors (see below), whose sum is σ = 33470107776. Its totient is φ = 2308800000.

The previous prime is 10111502083. The next prime is 10111502113. The reversal of 10111502100 is 120511101.

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

It is a congruent number.

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, 2730250 + ... + 2733950.

It is an arithmetic number, because the mean of its divisors is an integer number (232431304).

Almost surely, 2^10111502100 is an apocalyptic number.

10111502100 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 10111502100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16735053888).

10111502100 is an abundant number, since it is smaller than the sum of its proper divisors (23358605676).

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

10111502100 is a wasteful number, since it uses less digits than its factorization.

10111502100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5026 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 12.

Subtracting from 10111502100 its reverse (120511101), we obtain a palindrome (9990990999).

The spelling of 10111502100 in words is "ten billion, one hundred eleven million, five hundred two thousand, one hundred".