101656705516681 has 8 divisors (see below), whose sum is σ = 117913108318400. Its totient is φ = 85833806789808.

The previous prime is 101656705516679. The next prime is 101656705516757. The reversal of 101656705516681 is 186615507656101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101656705516681 - 2¹ = 101656705516679 is a prime.

It is a super-2 number, since 2×101656705516681² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101656705510681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108376018206 + ... + 108376019143.

It is an arithmetic number, because the mean of its divisors is an integer number (14739138539800).

Almost surely, 2^{101656705516681} is an apocalyptic number.

It is an amenable number.

101656705516681 is a deficient number, since it is larger than the sum of its proper divisors (16256402801719).

101656705516681 is an equidigital number, since it uses as much as digits as its factorization.

101656705516681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216752037423.

The product of its (nonzero) digits is 9072000, while the sum is 58.

The spelling of 101656705516681 in words is "one hundred one trillion, six hundred fifty-six billion, seven hundred five million, five hundred sixteen thousand, six hundred eighty-one".