10111120002100 has 36 divisors (see below), whose sum is σ = 23628909669484. Its totient is φ = 3733336615680.

The previous prime is 10111120002091. The next prime is 10111120002163. The reversal of 10111120002100 is 120002111101.

It can be written as a sum of positive squares in 6 ways, for example, as 3586129989264 + 6524990012836 = 1893708^2 + 2554406^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3888891009 + ... + 3888893608.

Almost surely, 2^{10111120002100} is an apocalyptic number.

10111120002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111120002100 is an abundant number, since it is smaller than the sum of its proper divisors (13517789667384).

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

10111120002100 is a wasteful number, since it uses less digits than its factorization.

10111120002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7777784644 (or 7777784637 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10111120002100 its reverse (120002111101), we get a palindrome (10231122113201).

The spelling of 10111120002100 in words is "ten trillion, one hundred eleven billion, one hundred twenty million, two thousand, one hundred".