101110112011001 has 8 divisors (see below), whose sum is σ = 101314418204808. Its totient is φ = 100905845040000.

The previous prime is 101110112010989. The next prime is 101110112011021. The reversal of 101110112011001 is 100110211011101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59949418775401 + 41160693235600 = 7742701^2 + 6415660^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 101110112011001 - 2¹⁸ = 101110111748857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101110112011021) 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, 4642070 + ... + 14958911.

It is an arithmetic number, because the mean of its divisors is an integer number (12664302275601).

Almost surely, 2^{101110112011001} is an apocalyptic number.

It is an amenable number.

101110112011001 is a deficient number, since it is larger than the sum of its proper divisors (204306193807).

101110112011001 is an equidigital number, since it uses as much as digits as its factorization.

101110112011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19611403.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101110112011001 its reverse (100110211011101), we get a palindrome (201220323022102).

The spelling of 101110112011001 in words is "one hundred one trillion, one hundred ten billion, one hundred twelve million, eleven thousand, one".