101365862400 has 1170 divisors, whose sum is σ = 416807766606. Its totient is φ = 24330240000.

The previous prime is 101365862383. The next prime is 101365862449. The reversal of 101365862400 is 4268563101.

It is a happy number.

101365862400 is a `hidden beast` number, since 1 + 0 + 1 + 36 + 586 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 27137949696 + 74227912704 = 164736^2 + 272448^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1003622350 + ... + 1003622450.

Almost surely, 2^101365862400 is an apocalyptic number.

101365862400 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 101365862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208403883303).

101365862400 is an abundant number, since it is smaller than the sum of its proper divisors (315441904206).

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

101365862400 is a wasteful number, since it uses less digits than its factorization.

101365862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 101365862400 in words is "one hundred one billion, three hundred sixty-five million, eight hundred sixty-two thousand, four hundred".