221101020002120 has 32 divisors (see below), whose sum is σ = 497534681561400. Its totient is φ = 88430205946368.

The previous prime is 221101020002113. The next prime is 221101020002129. The reversal of 221101020002120 is 21200020101122.

It can be written as a sum of positive squares in 4 ways, for example, as 130403929658116 + 90697090344004 = 11419454^2 + 9523502^2 .

It is a super-2 number, since 2×221101020002120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221101020002095 and 221101020002104.

It is not an unprimeable number, because it can be changed into a prime (221101020002129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 318463109 + ... + 319156628.

Almost surely, 2^{221101020002120} is an apocalyptic number.

221101020002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221101020002120 is an abundant number, since it is smaller than the sum of its proper divisors (276433661559280).

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

221101020002120 is a wasteful number, since it uses less digits than its factorization.

221101020002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637628417 (or 637628413 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221101020002120 its reverse (21200020101122), we get a palindrome (242301040103242).

The spelling of 221101020002120 in words is "two hundred twenty-one trillion, one hundred one billion, twenty million, two thousand, one hundred twenty".