221210404012122 has 128 divisors (see below), whose sum is σ = 527130148405248. Its totient is φ = 60555334752000.

The previous prime is 221210404012121. The next prime is 221210404012151.

221210404012122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 221210404012092 and 221210404012101.

It is not an unprimeable number, because it can be changed into a prime (221210404012121) 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, 3465966303 + ... + 3466030125.

It is an arithmetic number, because the mean of its divisors is an integer number (4118204284416).

Almost surely, 2^{221210404012122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221210404012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263565074202624).

221210404012122 is an abundant number, since it is smaller than the sum of its proper divisors (305919744393126).

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

221210404012122 is a wasteful number, since it uses less digits than its factorization.

221210404012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90324.

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

It can be divided in two parts, 22121040 and 4012122, that added together give a palindrome (26133162).

The spelling of 221210404012122 in words is "two hundred twenty-one trillion, two hundred ten billion, four hundred four million, twelve thousand, one hundred twenty-two".