102112122122221 has 16 divisors (see below), whose sum is σ = 109150394371200. Its totient is φ = 95250828312000.

The previous prime is 102112122122173. The next prime is 102112122122239. The reversal of 102112122122221 is 122221221211201.

It is a cyclic number.

It is not a de Polignac number, because 102112122122221 - 2¹⁹ = 102112121597933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102112122122192 and 102112122122201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112122122291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146644681 + ... + 147339358.

It is an arithmetic number, because the mean of its divisors is an integer number (6821899648200).

Almost surely, 2^{102112122122221} is an apocalyptic number.

It is an amenable number.

102112122122221 is a deficient number, since it is larger than the sum of its proper divisors (7038272248979).

102112122122221 is a wasteful number, since it uses less digits than its factorization.

102112122122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293984340.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 102112122122221 its reverse (122221221211201), we get a palindrome (224333343333422).

The spelling of 102112122122221 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty-one".