102212098560 has 1120 divisors, whose sum is σ = 432800299008. Its totient is φ = 22812917760.

The previous prime is 102212098543. The next prime is 102212098577. The reversal of 102212098560 is 65890212201.

102212098560 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 2 + 0 + 98 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (102212098543) and next prime (102212098577).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 266872129 + ... + 266872511.

Almost surely, 2^102212098560 is an apocalyptic number.

102212098560 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 102212098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216400149504).

102212098560 is an abundant number, since it is smaller than the sum of its proper divisors (330588200448).

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

102212098560 is an equidigital number, since it uses as much as digits as its factorization.

102212098560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 102212098560 in words is "one hundred two billion, two hundred twelve million, ninety-eight thousand, five hundred sixty".