101010101112100 has 36 divisors (see below), whose sum is σ = 226750261468500. Its totient is φ = 39010797669760.

The previous prime is 101010101112049. The next prime is 101010101112119. The reversal of 101010101112100 is 1211101010101.

It can be written as a sum of positive squares in 6 ways, for example, as 5772371435776 + 95237729676324 = 2402576^2 + 9758982^2 .

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 11 ways as a sum of consecutive naturals, for example, 17415531775 + ... + 17415537574.

It is an arithmetic number, because the mean of its divisors is an integer number (6298618374125).

Almost surely, 2^{101010101112100} is an apocalyptic number.

101010101112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010101112100 is an abundant number, since it is smaller than the sum of its proper divisors (125740160356400).

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

101010101112100 is a wasteful number, since it uses less digits than its factorization.

101010101112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34831069392 (or 34831069385 counting only the distinct ones).

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

Adding to 101010101112100 its reverse (1211101010101), we get a palindrome (102221202122201).

The spelling of 101010101112100 in words is "one hundred one trillion, ten billion, one hundred one million, one hundred twelve thousand, one hundred".