102199048987392 has 576 divisors, whose sum is σ = 347685436062720. Its totient is φ = 29006379417600.

The previous prime is 102199048987391. The next prime is 102199048987411. The reversal of 102199048987392 is 293789840991201.

It is a happy number.

102199048987392 is a `hidden beast` number, since 1 + 0 + 2 + 199 + 0 + 48 + 9 + 8 + 7 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×102199048987392² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 102199048987392.

It is not an unprimeable number, because it can be changed into a prime (102199048987391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11392153467 + ... + 11392162437.

It is an arithmetic number, because the mean of its divisors is an integer number (603620548720).

Almost surely, 2^{102199048987392} is an apocalyptic number.

102199048987392 is a gapful number since it is divisible by the number (12) 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 102199048987392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173842718031360).

102199048987392 is an abundant number, since it is smaller than the sum of its proper divisors (245486387075328).

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

102199048987392 is a wasteful number, since it uses less digits than its factorization.

102199048987392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10537 (or 10517 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 102199048987392 in words is "one hundred two trillion, one hundred ninety-nine billion, forty-eight million, nine hundred eighty-seven thousand, three hundred ninety-two".