122121122102020 has 24 divisors (see below), whose sum is σ = 256589261468568. Its totient is φ = 48822752640000.

The previous prime is 122121122102017. The next prime is 122121122102029. The reversal of 122121122102020 is 20201221121221.

It can be written as a sum of positive squares in 4 ways, for example, as 10807143406084 + 111313978695936 = 3287422^2 + 10550544^2 .

It is a super-3 number, since 3×122121122102020³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (122121122102029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1605973581 + ... + 1606049620.

It is an arithmetic number, because the mean of its divisors is an integer number (10691219227857).

Almost surely, 2^{122121122102020} is an apocalyptic number.

122121122102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121122102020 is an abundant number, since it is smaller than the sum of its proper divisors (134468139366548).

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

122121122102020 is a wasteful number, since it uses less digits than its factorization.

122121122102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212025111 (or 3212025109 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122121122102020 its reverse (20201221121221), we get a palindrome (142322343223241).

The spelling of 122121122102020 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand, twenty".