102189699872000 has 288 divisors, whose sum is σ = 290275873733664. Its totient is φ = 35512074240000.

The previous prime is 102189699871969. The next prime is 102189699872027. The reversal of 102189699872000 is 278996981201.

It can be written as a sum of positive squares in 16 ways, for example, as 88628216033536 + 13561483838464 = 9414256^2 + 3682592^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152951 + ... + 14296950.

It is an arithmetic number, because the mean of its divisors is an integer number (1007902339353).

Almost surely, 2^{102189699872000} is an apocalyptic number.

102189699872000 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 102189699872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145137936866832).

102189699872000 is an abundant number, since it is smaller than the sum of its proper divisors (188086173861664).

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

102189699872000 is a wasteful number, since it uses less digits than its factorization.

102189699872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14449962 (or 14449938 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 62.

The spelling of 102189699872000 in words is "one hundred two trillion, one hundred eighty-nine billion, six hundred ninety-nine million, eight hundred seventy-two thousand".