101100000101100 has 1152 divisors, whose sum is σ = 414654393753600. Its totient is φ = 18316324454400.

The previous prime is 101100000101069. The next prime is 101100000101137. The reversal of 101100000101100 is 1101000001101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1922794611 + ... + 1922847189.

Almost surely, 2^{101100000101100} is an apocalyptic number.

101100000101100 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 101100000101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207327196876800).

101100000101100 is an abundant number, since it is smaller than the sum of its proper divisors (313554393652500).

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

101100000101100 is a wasteful number, since it uses less digits than its factorization.

101100000101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52983 (or 52976 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101100000101100 its reverse (1101000001101), we get a palindrome (102201000102201).

Subtracting from 101100000101100 its reverse (1101000001101), we obtain a palindrome (99999000099999).

The spelling of 101100000101100 in words is "one hundred one trillion, one hundred billion, one hundred one thousand, one hundred".