101111444111100 has 72 divisors (see below), whose sum is σ = 292550647032448. Its totient is φ = 26962910251200.

The previous prime is 101111444111063. The next prime is 101111444111137. The reversal of 101111444111100 is 1111444111101.

It is an interprime number because it is at equal distance from previous prime (101111444111063) and next prime (101111444111137).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64386255 + ... + 65937945.

Almost surely, 2^{101111444111100} is an apocalyptic number.

101111444111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111444111100 is an abundant number, since it is smaller than the sum of its proper divisors (191439202921348).

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

101111444111100 is a wasteful number, since it uses less digits than its factorization.

101111444111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768915 (or 1768908 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 21.

Adding to 101111444111100 its reverse (1111444111101), we get a palindrome (102222888222201).

Subtracting from 101111444111100 its reverse (1111444111101), we obtain a palindrome (99999999999999).

The spelling of 101111444111100 in words is "one hundred one trillion, one hundred eleven billion, four hundred forty-four million, one hundred eleven thousand, one hundred".