102111122121 has 16 divisors (see below), whose sum is σ = 136892012736. Its totient is φ = 67703141376.

The previous prime is 102111122119. The next prime is 102111122123. The reversal of 102111122121 is 121221111201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102111122119) and next prime (102111122123).

It is not a de Polignac number, because 102111122121 - 2¹ = 102111122119 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102111122121.

It is not an unprimeable number, because it can be changed into a prime (102111122123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293241 + ... + 538713.

It is an arithmetic number, because the mean of its divisors is an integer number (8555750796).

Almost surely, 2^102111122121 is an apocalyptic number.

It is an amenable number.

102111122121 is a deficient number, since it is larger than the sum of its proper divisors (34780890615).

102111122121 is a wasteful number, since it uses less digits than its factorization.

102111122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246232.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102111122121 its reverse (121221111201), we get a palindrome (223332233322).

The spelling of 102111122121 in words is "one hundred two billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty-one".