220001222100020 has 48 divisors (see below), whose sum is σ = 468936158256720. Its totient is φ = 86689138139136.

The previous prime is 220001222099993. The next prime is 220001222100043. The reversal of 220001222100020 is 20001222100022.

It can be written as a sum of positive squares in 8 ways, for example, as 46226237824144 + 173774984275876 = 6798988^2 + 13182374^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220001222099968 and 220001222100004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291293357 + ... + 292047636.

It is an arithmetic number, because the mean of its divisors is an integer number (9769503297015).

Almost surely, 2^{220001222100020} is an apocalyptic number.

220001222100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220001222100020 is an abundant number, since it is smaller than the sum of its proper divisors (248934936156700).

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

220001222100020 is a wasteful number, since it uses less digits than its factorization.

220001222100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583341284 (or 583341282 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220001222100020 its reverse (20001222100022), we get a palindrome (240002444200042).

It can be divided in two parts, 22000122 and 2100020, that added together give a palindrome (24100142).

The spelling of 220001222100020 in words is "two hundred twenty trillion, one billion, two hundred twenty-two million, one hundred thousand, twenty".