102111122201121 has 24 divisors (see below), whose sum is σ = 166450732119360. Its totient is φ = 59751544860000.

The previous prime is 102111122201119. The next prime is 102111122201159. The reversal of 102111122201121 is 121102221111201.

It is a happy number.

102111122201121 is a `hidden beast` number, since 1 + 0 + 211 + 112 + 220 + 1 + 121 = 666.

It is not a de Polignac number, because 102111122201121 - 2¹ = 102111122201119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102111122201094 and 102111122201103.

It is not an unprimeable number, because it can be changed into a prime (102111122201111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17783195005 + ... + 17783200746.

It is an arithmetic number, because the mean of its divisors is an integer number (6935447171640).

Almost surely, 2^{102111122201121} is an apocalyptic number.

102111122201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102111122201121 is a deficient number, since it is larger than the sum of its proper divisors (64339609918239).

102111122201121 is a wasteful number, since it uses less digits than its factorization.

102111122201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35566395797 (or 35566395794 counting only the distinct ones).

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

Adding to 102111122201121 its reverse (121102221111201), we get a palindrome (223213343312322).

It can be divided in two parts, 1021111 and 22201121, that added together give a palindrome (23222232).

The spelling of 102111122201121 in words is "one hundred two trillion, one hundred eleven billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty-one".