221102110012121 has 16 divisors (see below), whose sum is σ = 242617647882960. Its totient is φ = 200231004430080.

The previous prime is 221102110012111. The next prime is 221102110012141. The reversal of 221102110012121 is 121210011201122.

It can be written as a sum of positive squares in 8 ways, for example, as 34070802480400 + 187031307531721 = 5837020^2 + 13675939^2 .

It is a de Polignac number, because none of the positive numbers 2^k-221102110012121 is a prime.

It is a super-2 number, since 2×221102110012121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221102110012121.

It is not an unprimeable number, because it can be changed into a prime (221102110012111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1180535 + ... + 21061763.

It is an arithmetic number, because the mean of its divisors is an integer number (15163602992685).

Almost surely, 2^{221102110012121} is an apocalyptic number.

It is an amenable number.

221102110012121 is a deficient number, since it is larger than the sum of its proper divisors (21515537870839).

221102110012121 is a wasteful number, since it uses less digits than its factorization.

221102110012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19897436.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 221102110012121 its reverse (121210011201122), we get a palindrome (342312121213243).

The spelling of 221102110012121 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred ten million, twelve thousand, one hundred twenty-one".