101110210101121 has 48 divisors (see below), whose sum is σ = 116851377807360. Its totient is φ = 86948299791360.

The previous prime is 101110210101077. The next prime is 101110210101143. The reversal of 101110210101121 is 121101012011101.

It is not a de Polignac number, because 101110210101121 - 2³⁷ = 100972771147649 is a prime.

It is a super-2 number, since 2×101110210101121² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101110210141121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205401075 + ... + 205892743.

It is an arithmetic number, because the mean of its divisors is an integer number (2434403704320).

Almost surely, 2^{101110210101121} is an apocalyptic number.

It is an amenable number.

101110210101121 is a deficient number, since it is larger than the sum of its proper divisors (15741167706239).

101110210101121 is a wasteful number, since it uses less digits than its factorization.

101110210101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492274 (or 492257 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101110210101121 its reverse (121101012011101), we get a palindrome (222211222112222).

The spelling of 101110210101121 in words is "one hundred one trillion, one hundred ten billion, two hundred ten million, one hundred one thousand, one hundred twenty-one".