101332100113101 has 48 divisors (see below), whose sum is σ = 172708409852160. Its totient is φ = 56441735141760.

The previous prime is 101332100113099. The next prime is 101332100113177. The reversal of 101332100113101 is 101311001233101.

101332100113101 is a `hidden beast` number, since 1 + 0 + 1 + 332 + 10 + 0 + 11 + 310 + 1 = 666.

It is not a de Polignac number, because 101332100113101 - 2¹ = 101332100113099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101332100113201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171616021 + ... + 172205466.

It is an arithmetic number, because the mean of its divisors is an integer number (3598091871920).

Almost surely, 2^{101332100113101} is an apocalyptic number.

101332100113101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101332100113101 is a deficient number, since it is larger than the sum of its proper divisors (71376309739059).

101332100113101 is a wasteful number, since it uses less digits than its factorization.

101332100113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343821746 (or 343821743 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 101332100113101 its reverse (101311001233101), we get a palindrome (202643101346202).

The spelling of 101332100113101 in words is "one hundred one trillion, three hundred thirty-two billion, one hundred million, one hundred thirteen thousand, one hundred one".