202122202121120 has 48 divisors (see below), whose sum is σ = 478930657245768. Its totient is φ = 80608973168640.

The previous prime is 202122202121087. The next prime is 202122202121137. The reversal of 202122202121120 is 21121202221202.

It can be written as a sum of positive squares in 4 ways, for example, as 180166942426384 + 21955259694736 = 13422628^2 + 4685644^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202122202121092 and 202122202121101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1874224661 + ... + 1874332500.

Almost surely, 2^{202122202121120} is an apocalyptic number.

202122202121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122202121120 is an abundant number, since it is smaller than the sum of its proper divisors (276808455124648).

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

202122202121120 is a wasteful number, since it uses less digits than its factorization.

202122202121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748557513 (or 3748557505 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 202122202121120 its reverse (21121202221202), we get a palindrome (223243404342322).

The spelling of 202122202121120 in words is "two hundred two trillion, one hundred twenty-two billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty".