102341852197200 has 720 divisors, whose sum is σ = 442837054697856. Its totient is φ = 21263590195200.

The previous prime is 102341852197163. The next prime is 102341852197213. The reversal of 102341852197200 is 2791258143201.

102341852197200 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 4 + 18 + 521 + 97 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×102341852197200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4450988904 + ... + 4451011896.

Almost surely, 2^{102341852197200} is an apocalyptic number.

102341852197200 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 102341852197200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221418527348928).

102341852197200 is an abundant number, since it is smaller than the sum of its proper divisors (340495202500656).

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

102341852197200 is a wasteful number, since it uses less digits than its factorization.

102341852197200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39092 (or 39078 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 102341852197200 in words is "one hundred two trillion, three hundred forty-one billion, eight hundred fifty-two million, one hundred ninety-seven thousand, two hundred".