10215100800 has 432 divisors, whose sum is σ = 37537588140. Its totient is φ = 2644992000.

The previous prime is 10215100799. The next prime is 10215100807. The reversal of 10215100800 is 800151201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10215100807) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 48412695 + ... + 48412905.

Almost surely, 2^10215100800 is an apocalyptic number.

10215100800 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 10215100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18768794070).

10215100800 is an abundant number, since it is smaller than the sum of its proper divisors (27322487340).

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

10215100800 is a wasteful number, since it uses less digits than its factorization.

10215100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The spelling of 10215100800 in words is "ten billion, two hundred fifteen million, one hundred thousand, eight hundred".