101337712324675 has 48 divisors (see below), whose sum is σ = 127864593424000. Its totient is φ = 79653510224640.

The previous prime is 101337712324661. The next prime is 101337712324679. The reversal of 101337712324675 is 576423217733101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-101337712324675 is a prime.

It is a super-2 number, since 2×101337712324675² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101337712324679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1465166644 + ... + 1465235806.

Almost surely, 2^{101337712324675} is an apocalyptic number.

101337712324675 is a deficient number, since it is larger than the sum of its proper divisors (26526881099325).

101337712324675 is a wasteful number, since it uses less digits than its factorization.

101337712324675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71492 (or 71487 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 52.

The spelling of 101337712324675 in words is "one hundred one trillion, three hundred thirty-seven billion, seven hundred twelve million, three hundred twenty-four thousand, six hundred seventy-five".