101681049600 has 1560 divisors, whose sum is σ = 433583311392. Its totient is φ = 23357030400.

The previous prime is 101681049593. The next prime is 101681049661. The reversal of 101681049600 is 6940186101.

It is a happy number.

101681049600 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 8 + 1 + 0 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

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 119 ways as a sum of consecutive naturals, for example, 2480025580 + ... + 2480025620.

Almost surely, 2^101681049600 is an apocalyptic number.

101681049600 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 101681049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216791655696).

101681049600 is an abundant number, since it is smaller than the sum of its proper divisors (331902261792).

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

101681049600 is a wasteful number, since it uses less digits than its factorization.

101681049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 101681049600 in words is "one hundred one billion, six hundred eighty-one million, forty-nine thousand, six hundred".