101617117021 has 16 divisors (see below), whose sum is σ = 117270937600. Its totient is φ = 86251722480.

The previous prime is 101617117009. The next prime is 101617117033. The reversal of 101617117021 is 120711716101.

It is an interprime number because it is at equal distance from previous prime (101617117009) and next prime (101617117033).

It is not a de Polignac number, because 101617117021 - 2⁷ = 101617116893 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 (101617117321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121060 + ... + 466786.

It is an arithmetic number, because the mean of its divisors is an integer number (7329433600).

Almost surely, 2^101617117021 is an apocalyptic number.

It is an amenable number.

101617117021 is a deficient number, since it is larger than the sum of its proper divisors (15653820579).

101617117021 is a wasteful number, since it uses less digits than its factorization.

101617117021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346144.

The product of its (nonzero) digits is 588, while the sum is 28.

The spelling of 101617117021 in words is "one hundred one billion, six hundred seventeen million, one hundred seventeen thousand, twenty-one".