101110201011121 has 4 divisors (see below), whose sum is σ = 101195815069044. Its totient is φ = 101024586953200.

The previous prime is 101110201011089. The next prime is 101110201011143. The reversal of 101110201011121 is 121110102011101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 53309916260496 + 47800284750625 = 7301364^2 + 6913775^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110201011121 - 2⁵ = 101110201011089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101110201011181) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42807027190 + ... + 42807029551.

It is an arithmetic number, because the mean of its divisors is an integer number (25298953767261).

Almost surely, 2^{101110201011121} is an apocalyptic number.

It is an amenable number.

101110201011121 is a deficient number, since it is larger than the sum of its proper divisors (85614057923).

101110201011121 is an equidigital number, since it uses as much as digits as its factorization.

101110201011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85614057922.

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

Adding to 101110201011121 its reverse (121110102011101), we get a palindrome (222220303022222).

The spelling of 101110201011121 in words is "one hundred one trillion, one hundred ten billion, two hundred one million, eleven thousand, one hundred twenty-one".