10100991000 has 128 divisors (see below), whose sum is σ = 31743129600. Its totient is φ = 2674108800.

The previous prime is 10100990987. The next prime is 10100991007. The reversal of 10100991000 is 19900101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100991007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404889 + ... + 429111.

It is an arithmetic number, because the mean of its divisors is an integer number (247993200).

Almost surely, 2^10100991000 is an apocalyptic number.

10100991000 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 10100991000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15871564800).

10100991000 is an abundant number, since it is smaller than the sum of its proper divisors (21642138600).

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

10100991000 is a wasteful number, since it uses less digits than its factorization.

10100991000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24386 (or 24372 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 21.

The spelling of 10100991000 in words is "ten billion, one hundred million, nine hundred ninety-one thousand".