101993472000 has 1792 divisors, whose sum is σ = 471075471360. Its totient is φ = 21233664000.

The previous prime is 101993471989. The next prime is 101993472011. The reversal of 101993472000 is 274399101.

101993472000 is a `hidden beast` number, since 101 + 9 + 9 + 347 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (101993471989) and next prime (101993472011).

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×101993472000² (a number of 23 digits) contains 22 as substring.

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

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, 3290111985 + ... + 3290112015.

Almost surely, 2^101993472000 is an apocalyptic number.

101993472000 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 101993472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235537735680).

101993472000 is an abundant number, since it is smaller than the sum of its proper divisors (369081999360).

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

101993472000 is an equidigital number, since it uses as much as digits as its factorization.

101993472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 101993472000 in words is "one hundred one billion, nine hundred ninety-three million, four hundred seventy-two thousand".