122120202102210 has 256 divisors, whose sum is σ = 376563894174720. Its totient is φ = 27893619855360.

The previous prime is 122120202102169. The next prime is 122120202102211. The reversal of 122120202102210 is 12201202021221.

It is a happy number.

122120202102210 is a `hidden beast` number, since 1 + 2 + 212 + 0 + 20 + 210 + 221 + 0 = 666.

It is a super-2 number, since 2×122120202102210² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (122120202102211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10176057 + ... + 18649196.

It is an arithmetic number, because the mean of its divisors is an integer number (1470952711620).

Almost surely, 2^{122120202102210} is an apocalyptic number.

122120202102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122120202102210 is an abundant number, since it is smaller than the sum of its proper divisors (254443692072510).

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

122120202102210 is a wasteful number, since it uses less digits than its factorization.

122120202102210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28825370 (or 28825364 counting only the distinct ones).

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

Adding to 122120202102210 its reverse (12201202021221), we get a palindrome (134321404123431).

The spelling of 122120202102210 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred two million, one hundred two thousand, two hundred ten".