101009190700 has 144 divisors (see below), whose sum is σ = 255280098528. Its totient is φ = 34569216000.

The previous prime is 101009190617. The next prime is 101009190739. The reversal of 101009190700 is 7091900101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2240380 + ... + 2285020.

It is an arithmetic number, because the mean of its divisors is an integer number (1772778462).

Almost surely, 2^101009190700 is an apocalyptic number.

101009190700 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 101009190700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127640049264).

101009190700 is an abundant number, since it is smaller than the sum of its proper divisors (154270907828).

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

101009190700 is a wasteful number, since it uses less digits than its factorization.

101009190700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44705 (or 44676 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 28.

The spelling of 101009190700 in words is "one hundred one billion, nine million, one hundred ninety thousand, seven hundred".