10242255003210 has 96 divisors (see below), whose sum is σ = 26931072514320. Its totient is φ = 2700379275264.

The previous prime is 10242255003163. The next prime is 10242255003221. The reversal of 10242255003210 is 1230055224201.

10242255003210 is a `hidden beast` number, since 102 + 4 + 2 + 2 + 550 + 0 + 3 + 2 + 1 + 0 = 666.

10242255003210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7829548285689 + 2412706717521 = 2798133^2 + 1553289^2 .

It is a super-2 number, since 2×10242255003210² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130307442 + ... + 130386018.

Almost surely, 2^{10242255003210} is an apocalyptic number.

10242255003210 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 10242255003210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465536257160).

10242255003210 is an abundant number, since it is smaller than the sum of its proper divisors (16688817511110).

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

10242255003210 is a wasteful number, since it uses less digits than its factorization.

10242255003210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94952 (or 94949 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 10242255003210 in words is "ten trillion, two hundred forty-two billion, two hundred fifty-five million, three thousand, two hundred ten".