20222012122100 has 18 divisors (see below), whose sum is σ = 43881766305174. Its totient is φ = 8088804848800.

The previous prime is 20222012122079. The next prime is 20222012122121. The reversal of 20222012122100 is 122121022202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20222012122079) and next prime (20222012122121).

It can be written as a sum of positive squares in 3 ways, for example, as 37155646564 + 20184856475536 = 192758^2 + 4492756^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 101110060511 + ... + 101110060710.

It is an arithmetic number, because the mean of its divisors is an integer number (2437875905843).

Almost surely, 2^{20222012122100} is an apocalyptic number.

20222012122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222012122100 is an abundant number, since it is smaller than the sum of its proper divisors (23659754183074).

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

20222012122100 is a wasteful number, since it uses less digits than its factorization.

20222012122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202220121235 (or 202220121228 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20222012122100 its reverse (122121022202), we get a palindrome (20344133144302).

The spelling of 20222012122100 in words is "twenty trillion, two hundred twenty-two billion, twelve million, one hundred twenty-two thousand, one hundred".