101122111111133 has 16 divisors (see below), whose sum is σ = 120595824500736. Its totient is φ = 82905509372400.

The previous prime is 101122111111103. The next prime is 101122111111139. The reversal of 101122111111133 is 331111111221101.

It is a cyclic number.

It is not a de Polignac number, because 101122111111133 - 2⁸ = 101122111110877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122111111139) 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, 1286291 + ... + 14279312.

It is an arithmetic number, because the mean of its divisors is an integer number (7537239031296).

Almost surely, 2^{101122111111133} is an apocalyptic number.

It is an amenable number.

101122111111133 is a deficient number, since it is larger than the sum of its proper divisors (19473713389603).

101122111111133 is a wasteful number, since it uses less digits than its factorization.

101122111111133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15605984.

The product of its (nonzero) digits is 36, while the sum is 20.

Adding to 101122111111133 its reverse (331111111221101), we get a palindrome (432233222332234).

The spelling of 101122111111133 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred eleven million, one hundred eleven thousand, one hundred thirty-three".