102121122010122 has 96 divisors (see below), whose sum is σ = 230676941214720. Its totient is φ = 32613926400000.

The previous prime is 102121122010079. The next prime is 102121122010123. The reversal of 102121122010122 is 221010221121201.

102121122010122 is a `hidden beast` number, since 102 + 1 + 211 + 220 + 10 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102121122010095 and 102121122010104.

It is not an unprimeable number, because it can be changed into a prime (102121122010123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 966994122 + ... + 967099722.

It is an arithmetic number, because the mean of its divisors is an integer number (2402884804320).

Almost surely, 2^{102121122010122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121122010122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115338470607360).

102121122010122 is an abundant number, since it is smaller than the sum of its proper divisors (128555819204598).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102121122010122 is a wasteful number, since it uses less digits than its factorization.

102121122010122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122900 (or 122897 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102121122010122 its reverse (221010221121201), we get a palindrome (323131343131323).

The spelling of 102121122010122 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twenty-two million, ten thousand, one hundred twenty-two".