101111111111100 has 432 divisors, whose sum is σ = 340852914017280. Its totient is φ = 22995994982400.

The previous prime is 101111111111099. The next prime is 101111111111147. The reversal of 101111111111100 is 1111111111101.

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 143 ways as a sum of consecutive naturals, for example, 50273845 + ... + 52246355.

It is an arithmetic number, because the mean of its divisors is an integer number (789011375040).

Almost surely, 2^{101111111111100} is an apocalyptic number.

101111111111100 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 101111111111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170426457008640).

101111111111100 is an abundant number, since it is smaller than the sum of its proper divisors (239741802906180).

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

101111111111100 is a wasteful number, since it uses less digits than its factorization.

101111111111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972610 (or 1972580 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 101111111111100 its reverse (1111111111101), we get a palindrome (102222222222201).

Subtracting from 101111111111100 its reverse (1111111111101), we obtain a palindrome (99999999999999).

It can be divided in two parts, 10111111 and 1111100, that added together give a palindrome (11222211).

The spelling of 101111111111100 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred".