101010111111121 has 4 divisors (see below), whose sum is σ = 101020647274992. Its totient is φ = 100999574947252.

The previous prime is 101010111111083. The next prime is 101010111111137. The reversal of 101010111111121 is 121111111010101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101010111111121 - 2¹¹ = 101010111109073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101010111111181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5268067555 + ... + 5268086728.

It is an arithmetic number, because the mean of its divisors is an integer number (25255161818748).

Almost surely, 2^{101010111111121} is an apocalyptic number.

It is an amenable number.

101010111111121 is a deficient number, since it is larger than the sum of its proper divisors (10536163871).

101010111111121 is an equidigital number, since it uses as much as digits as its factorization.

101010111111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10536163870.

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 101010111111121 its reverse (121111111010101), we get a palindrome (222121222121222).

The spelling of 101010111111121 in words is "one hundred one trillion, ten billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty-one".