101010112101100 has 72 divisors (see below), whose sum is σ = 224229323404800. Its totient is φ = 39478365875520.

The previous prime is 101010112101091. The next prime is 101010112101169. The reversal of 101010112101100 is 1101211010101.

101010112101100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 15124194 + ... + 20754793.

It is an arithmetic number, because the mean of its divisors is an integer number (3114296158400).

Almost surely, 2^{101010112101100} is an apocalyptic number.

101010112101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010112101100 is an abundant number, since it is smaller than the sum of its proper divisors (123219211303700).

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

101010112101100 is a wasteful number, since it uses less digits than its factorization.

101010112101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35879647 (or 35879640 counting only the distinct ones).

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

Adding to 101010112101100 its reverse (1101211010101), we get a palindrome (102111323111201).

The spelling of 101010112101100 in words is "one hundred one trillion, ten billion, one hundred twelve million, one hundred one thousand, one hundred".