101920109292 has 36 divisors (see below), whose sum is σ = 260735387640. Its totient is φ = 33564051072.

The previous prime is 101920109233. The next prime is 101920109297. The reversal of 101920109292 is 292901029101.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101920109297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17051917 + ... + 17057892.

Almost surely, 2^101920109292 is an apocalyptic number.

101920109292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101920109292 is an abundant number, since it is smaller than the sum of its proper divisors (158815278348).

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

101920109292 is a wasteful number, since it uses less digits than its factorization.

101920109292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34109902 (or 34109897 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 101920109292 in words is "one hundred one billion, nine hundred twenty million, one hundred nine thousand, two hundred ninety-two".