10123001891136 has 112 divisors (see below), whose sum is σ = 29766062692800. Its totient is φ = 3373618300416.

The previous prime is 10123001891113. The next prime is 10123001891173. The reversal of 10123001891136 is 63119810032101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10123001891136.

It is a congruent 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, 7559755 + ... + 8797493.

It is an arithmetic number, because the mean of its divisors is an integer number (265768416900).

Almost surely, 2^{10123001891136} is an apocalyptic number.

10123001891136 is a gapful number since it is divisible by the number (16) 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 10123001891136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14883031346400).

10123001891136 is an abundant number, since it is smaller than the sum of its proper divisors (19643060801664).

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

10123001891136 is a wasteful number, since it uses less digits than its factorization.

10123001891136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242493 (or 1242477 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 10123001891136 in words is "ten trillion, one hundred twenty-three billion, one million, eight hundred ninety-one thousand, one hundred thirty-six".