102121022020122 has 192 divisors, whose sum is σ = 278085075091200. Its totient is φ = 26424370022400.

The previous prime is 102121022020097. The next prime is 102121022020133. The reversal of 102121022020122 is 221020220121201.

It is a happy number.

102121022020122 is a `hidden beast` number, since 1 + 0 + 212 + 10 + 220 + 201 + 22 = 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 = 102121022020095 and 102121022020104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 269823 + ... + 14293874.

It is an arithmetic number, because the mean of its divisors is an integer number (1448359766100).

Almost surely, 2^{102121022020122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121022020122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139042537545600).

102121022020122 is an abundant number, since it is smaller than the sum of its proper divisors (175964053071078).

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

102121022020122 is a wasteful number, since it uses less digits than its factorization.

102121022020122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14563861 (or 14563858 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102121022020122 its reverse (221020220121201), we get a palindrome (323141242141323).

The spelling of 102121022020122 in words is "one hundred two trillion, one hundred twenty-one billion, twenty-two million, twenty thousand, one hundred twenty-two".