220201201000100 has 36 divisors (see below), whose sum is σ = 485669993170068. Its totient is φ = 86636538096000.

The previous prime is 220201201000063. The next prime is 220201201000111. The reversal of 220201201000100 is 1000102102022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 49347702643264 + 170853498356836 = 7024792^2 + 13071094^2 .

It is a super-3 number, since 3×220201201000100³ (a number of 44 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 18049272671 + ... + 18049284870.

It is an arithmetic number, because the mean of its divisors is an integer number (13490833143613).

Almost surely, 2^{220201201000100} is an apocalyptic number.

220201201000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220201201000100 is an abundant number, since it is smaller than the sum of its proper divisors (265468792169968).

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

220201201000100 is a wasteful number, since it uses less digits than its factorization.

220201201000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36098557616 (or 36098557609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 220201201000100 its reverse (1000102102022), we get a palindrome (221201303102122).

The spelling of 220201201000100 in words is "two hundred twenty trillion, two hundred one billion, two hundred one million, one hundred", and thus it is an aban number.