221210101012122 has 384 divisors, whose sum is σ = 529553332578816. Its totient is φ = 66450585600000.

The previous prime is 221210101012097. The next prime is 221210101012177.

221210101012122 is a `hidden beast` number, since 221 + 210 + 10 + 10 + 1 + 212 + 2 = 666.

221210101012122 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221210101012095 and 221210101012104.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 202759028797 + ... + 202759029887.

It is an arithmetic number, because the mean of its divisors is an integer number (1379045136924).

Almost surely, 2^{221210101012122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221210101012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264776666289408).

221210101012122 is an abundant number, since it is smaller than the sum of its proper divisors (308343231566694).

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

221210101012122 is a wasteful number, since it uses less digits than its factorization.

221210101012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 22121010 and 1012122, that added together give a palindrome (23133132).

The spelling of 221210101012122 in words is "two hundred twenty-one trillion, two hundred ten billion, one hundred one million, twelve thousand, one hundred twenty-two".