101000672985600 has 720 divisors, whose sum is σ = 369859188101832. Its totient is φ = 26311549255680.

The previous prime is 101000672985533. The next prime is 101000672985607. The reversal of 101000672985600 is 6589276000101.

101000672985600 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 0 + 67 + 29 + 8 + 560 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 781993564416 + 100218679421184 = 884304^2 + 10010928^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×101000672985600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (101000672985607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1422569302 + ... + 1422640298.

Almost surely, 2^{101000672985600} is an apocalyptic number.

101000672985600 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 101000672985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184929594050916).

101000672985600 is an abundant number, since it is smaller than the sum of its proper divisors (268858515116232).

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

101000672985600 is a wasteful number, since it uses less digits than its factorization.

101000672985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71317 (or 71293 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 101000672985600 in words is "one hundred one trillion, six hundred seventy-two million, nine hundred eighty-five thousand, six hundred".