101077373464704 has 1152 divisors, whose sum is σ = 366792084313200. Its totient is φ = 26481633067008.

The previous prime is 101077373464663. The next prime is 101077373464723. The reversal of 101077373464704 is 407464373770101.

101077373464704 is a `hidden beast` number, since 1 + 0 + 10 + 77 + 37 + 3 + 464 + 70 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1194299265600 + 99883074199104 = 1092840^2 + 9994152^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×101077373464704³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 143 ways as a sum of consecutive naturals, for example, 90490038354 + ... + 90490039470.

Almost surely, 2^{101077373464704} is an apocalyptic number.

101077373464704 is a gapful number since it is divisible by the number (14) 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 101077373464704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183396042156600).

101077373464704 is an abundant number, since it is smaller than the sum of its proper divisors (265714710848496).

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

101077373464704 is a wasteful number, since it uses less digits than its factorization.

101077373464704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 101077373464704 in words is "one hundred one trillion, seventy-seven billion, three hundred seventy-three million, four hundred sixty-four thousand, seven hundred four".