202202220121020 has 144 divisors (see below), whose sum is σ = 702182547638208. Its totient is φ = 46137550233600.

The previous prime is 202202220120991. The next prime is 202202220121049. The reversal of 202202220121020 is 20121022202202.

202202220121020 is a `hidden beast` number, since 202 + 202 + 220 + 1 + 21 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (202202220120991) and next prime (202202220121049).

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 = 202202220120984 and 202202220121002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138335331 + ... + 139789370.

It is an arithmetic number, because the mean of its divisors is an integer number (4876267691932).

Almost surely, 2^{202202220121020} is an apocalyptic number.

202202220121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202202220121020 is an abundant number, since it is smaller than the sum of its proper divisors (499980327517188).

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

202202220121020 is a wasteful number, since it uses less digits than its factorization.

202202220121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278125300 (or 278125295 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202202220121020 its reverse (20121022202202), we get a palindrome (222323242323222).

The spelling of 202202220121020 in words is "two hundred two trillion, two hundred two billion, two hundred twenty million, one hundred twenty-one thousand, twenty".