221022121020120 has 96 divisors (see below), whose sum is σ = 820939306655520. Its totient is φ = 50519341946880.

The previous prime is 221022121020031. The next prime is 221022121020133. The reversal of 221022121020120 is 21020121220122.

It is a happy number.

221022121020120 is a `hidden beast` number, since 2 + 2 + 10 + 221 + 210 + 201 + 20 = 666.

It is a super-2 number, since 2×221022121020120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221022121020093 and 221022121020102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43853592921 + ... + 43853597960.

It is an arithmetic number, because the mean of its divisors is an integer number (8551451110995).

Almost surely, 2^{221022121020120} is an apocalyptic number.

221022121020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221022121020120 is an abundant number, since it is smaller than the sum of its proper divisors (599917185635400).

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

221022121020120 is a wasteful number, since it uses less digits than its factorization.

221022121020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87707190905 (or 87707190898 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221022121020120 its reverse (21020121220122), we get a palindrome (242042242240242).

The spelling of 221022121020120 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred twenty-one million, twenty thousand, one hundred twenty".