220010002010020 has 24 divisors (see below), whose sum is σ = 464366288514744. Its totient is φ = 87557279986176.

The previous prime is 220010002010009. The next prime is 220010002010053. The reversal of 220010002010020 is 20010200010022.

It can be written as a sum of positive squares in 4 ways, for example, as 79395798426624 + 140614203583396 = 8910432^2 + 11858086^2 .

It is a super-3 number, since 3×220010002010020³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 220010002009979 and 220010002010006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27920047077 + ... + 27920054956.

It is an arithmetic number, because the mean of its divisors is an integer number (19348595354781).

Almost surely, 2^{220010002010020} is an apocalyptic number.

220010002010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220010002010020 is an abundant number, since it is smaller than the sum of its proper divisors (244356286504724).

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

220010002010020 is a wasteful number, since it uses less digits than its factorization.

220010002010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55840102239 (or 55840102237 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220010002010020 its reverse (20010200010022), we get a palindrome (240020202020042).

The spelling of 220010002010020 in words is "two hundred twenty trillion, ten billion, two million, ten thousand, twenty".