10111111111100 has 18 divisors (see below), whose sum is σ = 21941111111304. Its totient is φ = 4044444444400.

The previous prime is 10111111111097. The next prime is 10111111111103. The reversal of 10111111111100 is 111111111101.

10111111111100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10111111111097) and next prime (10111111111103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111111111103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50555555456 + ... + 50555555655.

Almost surely, 2^{10111111111100} is an apocalyptic number.

10111111111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111111111100 is an abundant number, since it is smaller than the sum of its proper divisors (11830000000204).

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

10111111111100 is a wasteful number, since it uses less digits than its factorization.

10111111111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101111111125 (or 101111111118 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 10111111111100 its reverse (111111111101), we get a palindrome (10222222222201).

Subtracting from 10111111111100 its reverse (111111111101), we obtain a palindrome (9999999999999).

The spelling of 10111111111100 in words is "ten trillion, one hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred".