101189716992 has 704 divisors, whose sum is σ = 379147632640. Its totient is φ = 25942228992.

The previous prime is 101189716987. The next prime is 101189717009. The reversal of 101189716992 is 299617981101.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 93090273 + ... + 93091359.

Almost surely, 2^101189716992 is an apocalyptic number.

101189716992 is a gapful number since it is divisible by the number (12) 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 101189716992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189573816320).

101189716992 is an abundant number, since it is smaller than the sum of its proper divisors (277957915648).

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

101189716992 is a wasteful number, since it uses less digits than its factorization.

101189716992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 54.

The spelling of 101189716992 in words is "one hundred one billion, one hundred eighty-nine million, seven hundred sixteen thousand, nine hundred ninety-two".