101009376000 has 1728 divisors, whose sum is σ = 444356115840. Its totient is φ = 22383820800.

The previous prime is 101009375969. The next prime is 101009376029. The reversal of 101009376000 is 673900101.

101009376000 is a `hidden beast` number, since 10 + 10 + 0 + 9 + 37 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4391711989 + ... + 4391712011.

It is an arithmetic number, because the mean of its divisors is an integer number (257150530).

Almost surely, 2^101009376000 is an apocalyptic number.

101009376000 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 101009376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222178057920).

101009376000 is an abundant number, since it is smaller than the sum of its proper divisors (343346739840).

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

101009376000 is a wasteful number, since it uses less digits than its factorization.

101009376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The spelling of 101009376000 in words is "one hundred one billion, nine million, three hundred seventy-six thousand".