10242113113200 has 120 divisors (see below), whose sum is σ = 32868884157568. Its totient is φ = 2726236880640.

The previous prime is 10242113113181. The next prime is 10242113113223. The reversal of 10242113113200 is 231131124201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7145332 + ... + 8458131.

Almost surely, 2^{10242113113200} is an apocalyptic number.

10242113113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10242113113200 is an abundant number, since it is smaller than the sum of its proper divisors (22626771044368).

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

10242113113200 is a wasteful number, since it uses less digits than its factorization.

10242113113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15604031 (or 15604020 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10242113113200 its reverse (231131124201), we get a palindrome (10473244237401).

The spelling of 10242113113200 in words is "ten trillion, two hundred forty-two billion, one hundred thirteen million, one hundred thirteen thousand, two hundred".