101333695064400 has 1440 divisors, whose sum is σ = 376748646543360. Its totient is φ = 26143533250560.

The previous prime is 101333695064377. The next prime is 101333695064453. The reversal of 101333695064400 is 4460596333101.

It is a happy number.

101333695064400 is a `hidden beast` number, since 1 + 0 + 13 + 33 + 69 + 506 + 4 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 241846527391 + ... + 241846527809.

It is an arithmetic number, because the mean of its divisors is an integer number (261631004544).

Almost surely, 2^{101333695064400} is an apocalyptic number.

101333695064400 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 101333695064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188374323271680).

101333695064400 is an abundant number, since it is smaller than the sum of its proper divisors (275414951478960).

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

101333695064400 is a wasteful number, since it uses less digits than its factorization.

101333695064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 101333695064400 in words is "one hundred one trillion, three hundred thirty-three billion, six hundred ninety-five million, sixty-four thousand, four hundred".