101734012636353 has 32 divisors (see below), whose sum is σ = 157276900281600. Its totient is φ = 64871004895488.

The previous prime is 101734012636331. The next prime is 101734012636393. The reversal of 101734012636353 is 353636210437101.

101734012636353 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 3 + 4 + 0 + 1 + 2 + 6 + 3 + 635 + 3 = 666.

It is not a de Polignac number, because 101734012636353 - 2¹² = 101734012632257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101734012636299 and 101734012636308.

It is not an unprimeable number, because it can be changed into a prime (101734012636393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10542051 + ... + 17737047.

It is an arithmetic number, because the mean of its divisors is an integer number (4914903133800).

Almost surely, 2^{101734012636353} is an apocalyptic number.

It is an amenable number.

101734012636353 is a deficient number, since it is larger than the sum of its proper divisors (55542887645247).

101734012636353 is a wasteful number, since it uses less digits than its factorization.

101734012636353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7217798 (or 7217792 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 101734012636353 in words is "one hundred one trillion, seven hundred thirty-four billion, twelve million, six hundred thirty-six thousand, three hundred fifty-three".