122002202200221 has 18 divisors (see below), whose sum is σ = 204996897575262. Its totient is φ = 69715544114160.

The previous prime is 122002202200187. The next prime is 122002202200267.

122002202200221 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 0 + 220 + 220 + 0 + 221 = 666.

122002202200221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 85694178123225 + 36308024076996 = 9257115^2 + 6025614^2 .

It is not a de Polignac number, because 122002202200221 - 2²⁶ = 122002135091357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122002202200194 and 122002202200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122002202280221) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 138324491850 + ... + 138324492731.

It is an arithmetic number, because the mean of its divisors is an integer number (11388716531959).

Almost surely, 2^{122002202200221} is an apocalyptic number.

It is an amenable number.

122002202200221 is a deficient number, since it is larger than the sum of its proper divisors (82994695375041).

122002202200221 is a wasteful number, since it uses less digits than its factorization.

122002202200221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276648984601 (or 276648984591 counting only the distinct ones).

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

It can be divided in two parts, 12200220 and 2200221, that added together give a palindrome (14400441).

The spelling of 122002202200221 in words is "one hundred twenty-two trillion, two billion, two hundred two million, two hundred thousand, two hundred twenty-one".