101009191000 has 128 divisors (see below), whose sum is σ = 246409413120. Its totient is φ = 38712000000.

The previous prime is 101009190983. The next prime is 101009191013. The reversal of 101009191000 is 191900101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3114870 + ... + 3147130.

It is an arithmetic number, because the mean of its divisors is an integer number (1925073540).

Almost surely, 2^101009191000 is an apocalyptic number.

101009191000 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 101009191000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123204706560).

101009191000 is an abundant number, since it is smaller than the sum of its proper divisors (145400222120).

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

101009191000 is a wasteful number, since it uses less digits than its factorization.

101009191000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32414 (or 32400 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 22.

The spelling of 101009191000 in words is "one hundred one billion, nine million, one hundred ninety-one thousand".