102242700756700 has 288 divisors, whose sum is σ = 281421530869248. Its totient is φ = 31439342592000.

The previous prime is 102242700756697. The next prime is 102242700756727. The reversal of 102242700756700 is 7657007242201.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18542995 + ... + 23416405.

It is an arithmetic number, because the mean of its divisors is an integer number (977158093296).

Almost surely, 2^{102242700756700} is an apocalyptic number.

102242700756700 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 102242700756700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140710765434624).

102242700756700 is an abundant number, since it is smaller than the sum of its proper divisors (179178830112548).

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

102242700756700 is a wasteful number, since it uses less digits than its factorization.

102242700756700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4873533 (or 4873526 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 43.

Adding to 102242700756700 its reverse (7657007242201), we get a palindrome (109899707998901).

The spelling of 102242700756700 in words is "one hundred two trillion, two hundred forty-two billion, seven hundred million, seven hundred fifty-six thousand, seven hundred".