122120102022210 has 96 divisors (see below), whose sum is σ = 322801634449008. Its totient is φ = 32023139880960.

The previous prime is 122120102022199. The next prime is 122120102022221. The reversal of 122120102022210 is 12220201021221.

It is a happy number.

122120102022210 is a `hidden beast` number, since 1 + 221 + 20 + 1 + 0 + 202 + 221 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122120102022199) and next prime (122120102022221).

It can be written as a sum of positive squares in 8 ways, for example, as 3694364617329 + 118425737404881 = 1922073^2 + 10882359^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18141514 + ... + 23944826.

Almost surely, 2^{122120102022210} is an apocalyptic number.

122120102022210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122120102022210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161400817224504).

122120102022210 is an abundant number, since it is smaller than the sum of its proper divisors (200681532426798).

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

122120102022210 is a wasteful number, since it uses less digits than its factorization.

122120102022210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5807220 (or 5807217 counting only the distinct ones).

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

Adding to 122120102022210 its reverse (12220201021221), we get a palindrome (134340303043431).

The spelling of 122120102022210 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred two million, twenty-two thousand, two hundred ten".