102070509189120 has 1152 divisors, whose sum is σ = 383960982525120. Its totient is φ = 24977394892800.

The previous prime is 102070509189113. The next prime is 102070509189133. The reversal of 102070509189120 is 21981905070201.

102070509189120 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 7 + 0 + 509 + 18 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×102070509189120² (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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53693060170 + ... + 53693062070.

Almost surely, 2^{102070509189120} is an apocalyptic number.

102070509189120 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 102070509189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191980491262560).

102070509189120 is an abundant number, since it is smaller than the sum of its proper divisors (281890473336000).

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

102070509189120 is a wasteful number, since it uses less digits than its factorization.

102070509189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 102070509189120 in words is "one hundred two trillion, seventy billion, five hundred nine million, one hundred eighty-nine thousand, one hundred twenty".