101011000101100 has 72 divisors (see below), whose sum is σ = 227261402339328. Its totient is φ = 38928780782400.

The previous prime is 101011000101079. The next prime is 101011000101113. The reversal of 101011000101100 is 1101000110101.

It is a happy number.

101011000101100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 71067652 + ... + 72475051.

It is an arithmetic number, because the mean of its divisors is an integer number (3156408365824).

Almost surely, 2^{101011000101100} is an apocalyptic number.

101011000101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011000101100 is an abundant number, since it is smaller than the sum of its proper divisors (126250402238228).

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

101011000101100 is a wasteful number, since it uses less digits than its factorization.

101011000101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143542975 (or 143542968 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101011000101100 its reverse (1101000110101), we get a palindrome (102112000211201).

Subtracting from 101011000101100 its reverse (1101000110101), we obtain a palindrome (99909999990999).

The spelling of 101011000101100 in words is "one hundred one trillion, eleven billion, one hundred one thousand, one hundred".