102203055542520 has 384 divisors, whose sum is σ = 336794080896000. Its totient is φ = 26875660584960.

The previous prime is 102203055542437. The next prime is 102203055542587. The reversal of 102203055542520 is 25245550302201.

102203055542520 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 0 + 30 + 55 + 54 + 2 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22616296821 + ... + 22616301339.

It is an arithmetic number, because the mean of its divisors is an integer number (877067919000).

Almost surely, 2^{102203055542520} is an apocalyptic number.

102203055542520 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 102203055542520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168397040448000).

102203055542520 is an abundant number, since it is smaller than the sum of its proper divisors (234591025353480).

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

102203055542520 is a wasteful number, since it uses less digits than its factorization.

102203055542520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6363 (or 6356 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 102203055542520 in words is "one hundred two trillion, two hundred three billion, fifty-five million, five hundred forty-two thousand, five hundred twenty".