101110122211101 has 16 divisors (see below), whose sum is σ = 135788262919680. Its totient is φ = 66919399717680.

The previous prime is 101110122211093. The next prime is 101110122211103. The reversal of 101110122211101 is 101112221011101.

It is not a de Polignac number, because 101110122211101 - 2³ = 101110122211093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110122211103) 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, 7279216 + ... + 15975206.

It is an arithmetic number, because the mean of its divisors is an integer number (8486766432480).

Almost surely, 2^{101110122211101} is an apocalyptic number.

It is an amenable number.

101110122211101 is a deficient number, since it is larger than the sum of its proper divisors (34678140708579).

101110122211101 is a wasteful number, since it uses less digits than its factorization.

101110122211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8724016.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101110122211101 its reverse (101112221011101), we get a palindrome (202222343222202).

The spelling of 101110122211101 in words is "one hundred one trillion, one hundred ten billion, one hundred twenty-two million, two hundred eleven thousand, one hundred one".