101919090920 has 64 divisors (see below), whose sum is σ = 241566364800. Its totient is φ = 38593324800.

The previous prime is 101919090907. The next prime is 101919090953. The reversal of 101919090920 is 29090919101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 989870 + ... + 1087970.

It is an arithmetic number, because the mean of its divisors is an integer number (3774474450).

Almost surely, 2^101919090920 is an apocalyptic number.

101919090920 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 101919090920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120783182400).

101919090920 is an abundant number, since it is smaller than the sum of its proper divisors (139647273880).

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

101919090920 is a wasteful number, since it uses less digits than its factorization.

101919090920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99498 (or 99494 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 41.

The spelling of 101919090920 in words is "one hundred one billion, nine hundred nineteen million, ninety thousand, nine hundred twenty".