101114600114101 has 8 divisors (see below), whose sum is σ = 115560295146560. Its totient is φ = 86669093121408.

The previous prime is 101114600114057. The next prime is 101114600114119. The reversal of 101114600114101 is 101411006411101.

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

It is not a de Polignac number, because 101114600114101 - 2²⁹ = 101114063243189 is a prime.

It is a super-3 number, since 3×101114600114101³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101114600114131) 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, 45855771 + ... + 48010216.

It is an arithmetic number, because the mean of its divisors is an integer number (14445036893320).

Almost surely, 2^{101114600114101} is an apocalyptic number.

It is an amenable number.

101114600114101 is a deficient number, since it is larger than the sum of its proper divisors (14445695032459).

101114600114101 is an equidigital number, since it uses as much as digits as its factorization.

101114600114101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94019883.

The product of its (nonzero) digits is 96, while the sum is 22.

Adding to 101114600114101 its reverse (101411006411101), we get a palindrome (202525606525202).

The spelling of 101114600114101 in words is "one hundred one trillion, one hundred fourteen billion, six hundred million, one hundred fourteen thousand, one hundred one".