102122101122111 has 12 divisors (see below), whose sum is σ = 168582516138192. Its totient is φ = 58355486355456.

The previous prime is 102122101122061. The next prime is 102122101122127. The reversal of 102122101122111 is 111221101221201.

It is a happy number.

102122101122111 is a `hidden beast` number, since 1 + 0 + 212 + 210 + 11 + 221 + 11 = 666.

It is not a de Polignac number, because 102122101122111 - 2¹⁰ = 102122101121087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122101120111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 810492865986 + ... + 810492866111.

It is an arithmetic number, because the mean of its divisors is an integer number (14048543011516).

Almost surely, 2^{102122101122111} is an apocalyptic number.

102122101122111 is a deficient number, since it is larger than the sum of its proper divisors (66460415016081).

102122101122111 is a wasteful number, since it uses less digits than its factorization.

102122101122111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620985732110 (or 1620985732107 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102122101122111 its reverse (111221101221201), we get a palindrome (213343202343312).

The spelling of 102122101122111 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty-two thousand, one hundred eleven".