172101072270101 has 16 divisors (see below), whose sum is σ = 186127319247744. Its totient is φ = 158188603472064.

The previous prime is 172101072270067. The next prime is 172101072270151. The reversal of 172101072270101 is 101072270101271.

It is a cyclic number.

It is not a de Polignac number, because 172101072270101 - 2¹⁸ = 172101072007957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172101072270151) 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 15 ways as a sum of consecutive naturals, for example, 22717601 + ... + 29330726.

It is an arithmetic number, because the mean of its divisors is an integer number (11632957452984).

Almost surely, 2^{172101072270101} is an apocalyptic number.

It is an amenable number.

172101072270101 is a deficient number, since it is larger than the sum of its proper divisors (14026246977643).

172101072270101 is a wasteful number, since it uses less digits than its factorization.

172101072270101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52049420.

The product of its (nonzero) digits is 2744, while the sum is 32.

The spelling of 172101072270101 in words is "one hundred seventy-two trillion, one hundred one billion, seventy-two million, two hundred seventy thousand, one hundred one".