101202973672320 has 1024 divisors, whose sum is σ = 399331771372800. Its totient is φ = 24063049728000.

The previous prime is 101202973672259. The next prime is 101202973672379. The reversal of 101202973672320 is 23276379202101.

101202973672320 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 0 + 297 + 36 + 7 + 2 + 320 = 666.

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 127 ways as a sum of consecutive naturals, for example, 930179844 + ... + 930288636.

Almost surely, 2^{101202973672320} is an apocalyptic number.

101202973672320 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 101202973672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199665885686400).

101202973672320 is an abundant number, since it is smaller than the sum of its proper divisors (298128797700480).

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

101202973672320 is a wasteful number, since it uses less digits than its factorization.

101202973672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108976 (or 108958 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 101202973672320 in words is "one hundred one trillion, two hundred two billion, nine hundred seventy-three million, six hundred seventy-two thousand, three hundred twenty".