220100222122221 has 64 divisors (see below), whose sum is σ = 360635717836800. Its totient is φ = 116616278218176.

The previous prime is 220100222122201. The next prime is 220100222122237. The reversal of 220100222122221 is 122221222001022.

It is not a de Polignac number, because 220100222122221 - 2⁵ = 220100222122189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220100222122201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27513211 + ... + 34600248.

It is an arithmetic number, because the mean of its divisors is an integer number (5634933091200).

Almost surely, 2^{220100222122221} is an apocalyptic number.

220100222122221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220100222122221 is a deficient number, since it is larger than the sum of its proper divisors (140535495714579).

220100222122221 is a wasteful number, since it uses less digits than its factorization.

220100222122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62113678.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 220100222122221 its reverse (122221222001022), we get a palindrome (342321444123243).

The spelling of 220100222122221 in words is "two hundred twenty trillion, one hundred billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty-one".