101073972072000 has 448 divisors, whose sum is σ = 348873381642240. Its totient is φ = 25753418496000.

The previous prime is 101073972071999. The next prime is 101073972072091. The reversal of 101073972072000 is 270279370101.

It is a super-2 number, since 2×101073972072000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101073972072000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57916177 + ... + 59635823.

It is an arithmetic number, because the mean of its divisors is an integer number (778735226880).

Almost surely, 2^{101073972072000} is an apocalyptic number.

101073972072000 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 101073972072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174436690821120).

101073972072000 is an abundant number, since it is smaller than the sum of its proper divisors (247799409570240).

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

101073972072000 is a wasteful number, since it uses less digits than its factorization.

101073972072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719787 (or 1719767 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 39.

The spelling of 101073972072000 in words is "one hundred one trillion, seventy-three billion, nine hundred seventy-two million, seventy-two thousand".