100220202120020 has 48 divisors (see below), whose sum is σ = 224814625268688. Its totient is φ = 37396064993280.

The previous prime is 100220202120001. The next prime is 100220202120041. The reversal of 100220202120020 is 20021202022001.

It can be written as a sum of positive squares in 8 ways, for example, as 16091426233744 + 84128775886276 = 4011412^2 + 9172174^2 .

It is a super-2 number, since 2×100220202120020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100220202119977 and 100220202120004.

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, 1304232821 + ... + 1304309660.

It is an arithmetic number, because the mean of its divisors is an integer number (4683638026431).

Almost surely, 2^{100220202120020} is an apocalyptic number.

100220202120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220202120020 is an abundant number, since it is smaller than the sum of its proper divisors (124594423148668).

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

100220202120020 is a wasteful number, since it uses less digits than its factorization.

100220202120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608542620 (or 2608542618 counting only the distinct ones).

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

Adding to 100220202120020 its reverse (20021202022001), we get a palindrome (120241404142021).

The spelling of 100220202120020 in words is "one hundred trillion, two hundred twenty billion, two hundred two million, one hundred twenty thousand, twenty".