102221210011121 has 4 divisors (see below), whose sum is σ = 102417411950244. Its totient is φ = 102025008072000.

The previous prime is 102221210011087. The next prime is 102221210011139. The reversal of 102221210011121 is 121110012122201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 66362203690000 + 35859006321121 = 8146300^2 + 5988239^2 .

It is a cyclic number.

It is not a de Polignac number, because 102221210011121 - 2⁶ = 102221210011057 is a prime.

It is a super-2 number, since 2×102221210011121² (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 102221210011121.

It is not an unprimeable number, because it can be changed into a prime (102221210041121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98100968780 + ... + 98100969821.

It is an arithmetic number, because the mean of its divisors is an integer number (25604352987561).

Almost surely, 2^{102221210011121} is an apocalyptic number.

It is an amenable number.

102221210011121 is a deficient number, since it is larger than the sum of its proper divisors (196201939123).

102221210011121 is an equidigital number, since it uses as much as digits as its factorization.

102221210011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196201939122.

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

Adding to 102221210011121 its reverse (121110012122201), we get a palindrome (223331222133322).

The spelling of 102221210011121 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred ten million, eleven thousand, one hundred twenty-one".