101100211011100 has 72 divisors (see below), whose sum is σ = 254470740191360. Its totient is φ = 34145572317120.

The previous prime is 101100211011071. The next prime is 101100211011197. The reversal of 101100211011100 is 1110112001101.

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 23 ways as a sum of consecutive naturals, for example, 1077780510 + ... + 1077874309.

Almost surely, 2^{101100211011100} is an apocalyptic number.

101100211011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100211011100 is an abundant number, since it is smaller than the sum of its proper divisors (153370529180260).

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

101100211011100 is a wasteful number, since it uses less digits than its factorization.

101100211011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155654907 (or 2155654900 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101100211011100 its reverse (1110112001101), we get a palindrome (102210323012201).

Subtracting from 101100211011100 its reverse (1110112001101), we obtain a palindrome (99990099009999).

The spelling of 101100211011100 in words is "one hundred one trillion, one hundred billion, two hundred eleven million, eleven thousand, one hundred".