101336261120640 has 512 divisors, whose sum is σ = 441722170713600. Its totient is φ = 21380837179392.

The previous prime is 101336261120639. The next prime is 101336261120651. The reversal of 101336261120640 is 46021162633101.

101336261120640 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 3 + 6 + 2 + 6 + 1 + 1 + 2 + 0 + 640 = 666.

101336261120640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101336261120595 and 101336261120604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30649317 + ... + 33794276.

It is an arithmetic number, because the mean of its divisors is an integer number (862738614675).

Almost surely, 2^{101336261120640} is an apocalyptic number.

101336261120640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101336261120640 is an abundant number, since it is smaller than the sum of its proper divisors (340385909592960).

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

101336261120640 is a wasteful number, since it uses less digits than its factorization.

101336261120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64443641 (or 64443623 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 101336261120640 in words is "one hundred one trillion, three hundred thirty-six billion, two hundred sixty-one million, one hundred twenty thousand, six hundred forty".