10100010009990 has 128 divisors (see below), whose sum is σ = 25937189913600. Its totient is φ = 2509453923840.

The previous prime is 10100010009983. The next prime is 10100010010021. The reversal of 10100010009990 is 9990001000101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 504259296 + ... + 504279324.

It is an arithmetic number, because the mean of its divisors is an integer number (202634296200).

Almost surely, 2^{10100010009990} is an apocalyptic number.

10100010009990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100010009990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12968594956800).

10100010009990 is an abundant number, since it is smaller than the sum of its proper divisors (15837179903610).

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

10100010009990 is a wasteful number, since it uses less digits than its factorization.

10100010009990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34622.

The product of its (nonzero) digits is 729, while the sum is 30.

The spelling of 10100010009990 in words is "ten trillion, one hundred billion, ten million, nine thousand, nine hundred ninety".