221100201020120 has 128 divisors (see below), whose sum is σ = 511065918815040. Its totient is φ = 86053793679360.

The previous prime is 221100201020093. The next prime is 221100201020177. The reversal of 221100201020120 is 21020102001122.

It is a super-2 number, since 2×221100201020120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221100201020095 and 221100201020104.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 173440250 + ... + 174710390.

Almost surely, 2^{221100201020120} is an apocalyptic number.

221100201020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221100201020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255532959407520).

221100201020120 is an abundant number, since it is smaller than the sum of its proper divisors (289965717794920).

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

221100201020120 is a wasteful number, since it uses less digits than its factorization.

221100201020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270885 (or 1270881 counting only the distinct ones).

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

Adding to 221100201020120 its reverse (21020102001122), we get a palindrome (242120303021242).

The spelling of 221100201020120 in words is "two hundred twenty-one trillion, one hundred billion, two hundred one million, twenty thousand, one hundred twenty".