242207365014100 has 36 divisors (see below), whose sum is σ = 525654959727100. Its totient is φ = 96870968559360.

The previous prime is 242207365014089. The next prime is 242207365014127. The reversal of 242207365014100 is 1410563702242.

It can be written as a sum of positive squares in 6 ways, for example, as 114037025731344 + 128170339282756 = 10678812^2 + 11321234^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242207365014100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148905135 + ... + 150522934.

Almost surely, 2^{242207365014100} is an apocalyptic number.

242207365014100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242207365014100 is an abundant number, since it is smaller than the sum of its proper divisors (283447594713000).

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

242207365014100 is a wasteful number, since it uses less digits than its factorization.

242207365014100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299436172 (or 299436165 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 242207365014100 in words is "two hundred forty-two trillion, two hundred seven billion, three hundred sixty-five million, fourteen thousand, one hundred".