101681039328000 has 864 divisors, whose sum is σ = 378234399082176. Its totient is φ = 24184709120000.

The previous prime is 101681039327957. The next prime is 101681039328023. The reversal of 101681039328000 is 823930186101.

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, 615565420 + ... + 615730580.

It is an arithmetic number, because the mean of its divisors is an integer number (437771295234).

Almost surely, 2^{101681039328000} is an apocalyptic number.

101681039328000 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 101681039328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189117199541088).

101681039328000 is an abundant number, since it is smaller than the sum of its proper divisors (276553359754176).

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

101681039328000 is a wasteful number, since it uses less digits than its factorization.

101681039328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165270 (or 165235 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 101681039328000 in words is "one hundred one trillion, six hundred eighty-one billion, thirty-nine million, three hundred twenty-eight thousand".