221221202122122 has 64 divisors (see below), whose sum is σ = 455422235888640. Its totient is φ = 71586078829056.

The previous prime is 221221202122103. The next prime is 221221202122303.

It is a happy number.

221221202122122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 221221202122092 and 221221202122101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1958918823 + ... + 1959031749.

It is an arithmetic number, because the mean of its divisors is an integer number (7115972435760).

Almost surely, 2^{221221202122122} is an apocalyptic number.

221221202122122 is an abundant number, since it is smaller than the sum of its proper divisors (234201033766518).

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

221221202122122 is a wasteful number, since it uses less digits than its factorization.

221221202122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132735.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 22122120 and 2122122, that added together give a palindrome (24244242).

The spelling of 221221202122122 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, two hundred two million, one hundred twenty-two thousand, one hundred twenty-two".