101009101100 has 36 divisors (see below), whose sum is σ = 226260393408. Its totient is φ = 39100296000.

The previous prime is 101009101099. The next prime is 101009101121. The reversal of 101009101100 is 1101900101.

It is a happy number.

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, 16288691 + ... + 16294890.

It is an arithmetic number, because the mean of its divisors is an integer number (6285010928).

Almost surely, 2^101009101100 is an apocalyptic number.

101009101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101009101100 is an abundant number, since it is smaller than the sum of its proper divisors (125251292308).

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

101009101100 is a wasteful number, since it uses less digits than its factorization.

101009101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32583626 (or 32583619 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 101009101100 in words is "one hundred one billion, nine million, one hundred one thousand, one hundred".