101101112011121 has 16 divisors (see below), whose sum is σ = 102555781751808. Its totient is φ = 99655823880000.

The previous prime is 101101112011091. The next prime is 101101112011183. The reversal of 101101112011121 is 121110211101101.

It is a cyclic number.

It is not a de Polignac number, because 101101112011121 - 2²⁶ = 101101044902257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101101112011096 and 101101112011105.

It is not an unprimeable number, because it can be changed into a prime (101101112017121) 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, 40409771 + ... + 42838671.

It is an arithmetic number, because the mean of its divisors is an integer number (6409736359488).

Almost surely, 2^{101101112011121} is an apocalyptic number.

It is an amenable number.

101101112011121 is a deficient number, since it is larger than the sum of its proper divisors (1454669740687).

101101112011121 is a wasteful number, since it uses less digits than its factorization.

101101112011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430832.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101101112011121 its reverse (121110211101101), we get a palindrome (222211323112222).

The spelling of 101101112011121 in words is "one hundred one trillion, one hundred one billion, one hundred twelve million, eleven thousand, one hundred twenty-one".