10100683152 has 200 divisors, whose sum is σ = 33542942400. Its totient is φ = 2874486528.

The previous prime is 10100683147. The next prime is 10100683183. The reversal of 10100683152 is 25138600101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2438299 + ... + 2442437.

It is an arithmetic number, because the mean of its divisors is an integer number (167714712).

Almost surely, 2^10100683152 is an apocalyptic number.

10100683152 is a gapful number since it is divisible by the number (12) 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 10100683152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16771471200).

10100683152 is an abundant number, since it is smaller than the sum of its proper divisors (23442259248).

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

10100683152 is a wasteful number, since it uses less digits than its factorization.

10100683152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4435 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 10100683152 in words is "ten billion, one hundred million, six hundred eighty-three thousand, one hundred fifty-two".