222100020220221 has 64 divisors (see below), whose sum is σ = 388932570915840. Its totient is φ = 123489478480320.

The previous prime is 222100020220163. The next prime is 222100020220261. The reversal of 222100020220221 is 122022020001222.

222100020220221 is a `hidden beast` number, since 2 + 221 + 0 + 0 + 0 + 2 + 0 + 220 + 221 = 666.

It is not a de Polignac number, because 222100020220221 - 2¹³ = 222100020212029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222100020220194 and 222100020220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222100020220261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175824531 + ... + 177083216.

It is an arithmetic number, because the mean of its divisors is an integer number (6077071420560).

Almost surely, 2^{222100020220221} is an apocalyptic number.

It is an amenable number.

222100020220221 is a deficient number, since it is larger than the sum of its proper divisors (166832550695619).

222100020220221 is a wasteful number, since it uses less digits than its factorization.

222100020220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352907943 (or 352907937 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222100020220221 its reverse (122022020001222), we get a palindrome (344122040221443).

It can be divided in two parts, 222100020 and 220221, that added together give a triangular number (222320241 = T₂₁₀₈₆).

The spelling of 222100020220221 in words is "two hundred twenty-two trillion, one hundred billion, twenty million, two hundred twenty thousand, two hundred twenty-one".