100109920000 has 180 divisors, whose sum is σ = 250629148000. Its totient is φ = 39896064000.

The previous prime is 100109919961. The next prime is 100109920081. The reversal of 100109920000 is 29901001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50079001 + ... + 50080999.

Almost surely, 2^100109920000 is an apocalyptic number.

100109920000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100109920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125314574000).

100109920000 is an abundant number, since it is smaller than the sum of its proper divisors (150519228000).

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

100109920000 is an frugal number, since it uses more digits than its factorization.

100109920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The spelling of 100109920000 in words is "one hundred billion, one hundred nine million, nine hundred twenty thousand".