102201121211121 has 8 divisors (see below), whose sum is σ = 151409068460960. Its totient is φ = 68134080807396.

The previous prime is 102201121211099. The next prime is 102201121211221. The reversal of 102201121211121 is 121112121102201.

It is a happy number.

102201121211121 is a `hidden beast` number, since 1 + 0 + 220 + 112 + 1 + 211 + 121 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-102201121211121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102201121211094 and 102201121211103.

It is not an unprimeable number, because it can be changed into a prime (102201121211221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1892613355735 + ... + 1892613355788.

It is an arithmetic number, because the mean of its divisors is an integer number (18926133557620).

Almost surely, 2^{102201121211121} is an apocalyptic number.

It is an amenable number.

102201121211121 is a deficient number, since it is larger than the sum of its proper divisors (49207947249839).

102201121211121 is an equidigital number, since it uses as much as digits as its factorization.

102201121211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785226711532 (or 3785226711526 counting only the distinct ones).

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

Adding to 102201121211121 its reverse (121112121102201), we get a palindrome (223313242313322).

The spelling of 102201121211121 in words is "one hundred two trillion, two hundred one billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty-one".