220211210021121 has 80 divisors (see below), whose sum is σ = 362187541298880. Its totient is φ = 132225052821120.

The previous prime is 220211210021107. The next prime is 220211210021129. The reversal of 220211210021121 is 121120012112022.

220211210021121 is a `hidden beast` number, since 220 + 2 + 1 + 1 + 210 + 0 + 211 + 21 = 666.

It is not a de Polignac number, because 220211210021121 - 2¹⁵ = 220211209988353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220211210021094 and 220211210021103.

It is not an unprimeable number, because it can be changed into a prime (220211210021129) 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 79 ways as a sum of consecutive naturals, for example, 1148530555 + ... + 1148722271.

It is an arithmetic number, because the mean of its divisors is an integer number (4527344266236).

Almost surely, 2^{220211210021121} is an apocalyptic number.

It is an amenable number.

220211210021121 is a deficient number, since it is larger than the sum of its proper divisors (141976331277759).

220211210021121 is a wasteful number, since it uses less digits than its factorization.

220211210021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203676 (or 203667 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220211210021121 its reverse (121120012112022), we get a palindrome (341331222133143).

The spelling of 220211210021121 in words is "two hundred twenty trillion, two hundred eleven billion, two hundred ten million, twenty-one thousand, one hundred twenty-one".