101162338086601 has 9 divisors (see below), whose sum is σ = 111195088267053. Its totient is φ = 91965661317420.

The previous prime is 101162338086599. The next prime is 101162338086629. The reversal of 101162338086601 is 106680833261101.

It is a happy number.

The square root of 101162338086601 is 10057949.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 101162338086601 - 2¹ = 101162338086599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101162338086701) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 110180260 + ... + 111094618.

Almost surely, 2^{101162338086601} is an apocalyptic number.

101162338086601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101162338086601 is the 10057949-th square number.

101162338086601 is the 5028975-th centered octagonal number.

It is an amenable number.

101162338086601 is a deficient number, since it is larger than the sum of its proper divisors (10032750180452).

101162338086601 is an frugal number, since it uses more digits than its factorization.

101162338086601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828740 (or 914370 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 101162338086601 in words is "one hundred one trillion, one hundred sixty-two billion, three hundred thirty-eight million, eighty-six thousand, six hundred one".