102210120121122 has 128 divisors (see below), whose sum is σ = 249453843609600. Its totient is φ = 30827009071872.

The previous prime is 102210120121099. The next prime is 102210120121127. The reversal of 102210120121122 is 221121021012201.

102210120121122 is a `hidden beast` number, since 10 + 221 + 0 + 1 + 201 + 211 + 22 = 666.

It is a super-3 number, since 3×102210120121122³ (a number of 43 digits) contains 333 as substring.

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 = 102210120121095 and 102210120121104.

It is not an unprimeable number, because it can be changed into a prime (102210120121127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38488303 + ... + 41058125.

It is an arithmetic number, because the mean of its divisors is an integer number (1948858153200).

Almost surely, 2^{102210120121122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102210120121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124726921804800).

102210120121122 is an abundant number, since it is smaller than the sum of its proper divisors (147243723488478).

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

102210120121122 is a wasteful number, since it uses less digits than its factorization.

102210120121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570969 (or 2570963 counting only the distinct ones).

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

Adding to 102210120121122 its reverse (221121021012201), we get a palindrome (323331141133323).

The spelling of 102210120121122 in words is "one hundred two trillion, two hundred ten billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twenty-two".