101122211121111 has 24 divisors (see below), whose sum is σ = 150013695477984. Its totient is φ = 65592538344000.

The previous prime is 101122211121089. The next prime is 101122211121161. The reversal of 101122211121111 is 111121112221101.

101122211121111 is a `hidden beast` number, since 101 + 122 + 211 + 121 + 111 = 666.

It is not a de Polignac number, because 101122211121111 - 2³⁰ = 101121137379287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122211121161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138747625 + ... + 139474541.

It is an arithmetic number, because the mean of its divisors is an integer number (6250570644916).

Almost surely, 2^{101122211121111} is an apocalyptic number.

101122211121111 is a deficient number, since it is larger than the sum of its proper divisors (48891484356873).

101122211121111 is a wasteful number, since it uses less digits than its factorization.

101122211121111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144711 (or 1144708 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 101122211121111 its reverse (111121112221101), we get a palindrome (212243323342212).

The spelling of 101122211121111 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred eleven million, one hundred twenty-one thousand, one hundred eleven".