102111111220121 has 8 divisors (see below), whose sum is σ = 102120921746664. Its totient is φ = 102101301066240.

The previous prime is 102111111220109. The next prime is 102111111220147. The reversal of 102111111220121 is 121022111111201.

It can be written as a sum of positive squares in 4 ways, for example, as 5814179610121 + 96296931610000 = 2411261^2 + 9813100^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102111111220121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102111111220121.

It is not an unprimeable number, because it can be changed into a prime (102111111240121) 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 7 ways as a sum of consecutive naturals, for example, 1148910941 + ... + 1148999813.

It is an arithmetic number, because the mean of its divisors is an integer number (12765115218333).

Almost surely, 2^{102111111220121} is an apocalyptic number.

It is an amenable number.

102111111220121 is a deficient number, since it is larger than the sum of its proper divisors (9810526543).

102111111220121 is an equidigital number, since it uses as much as digits as its factorization.

102111111220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186331.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 102111111220121 its reverse (121022111111201), we get a palindrome (223133222331322).

The spelling of 102111111220121 in words is "one hundred two trillion, one hundred eleven billion, one hundred eleven million, two hundred twenty thousand, one hundred twenty-one".