102220220101121 has 8 divisors (see below), whose sum is σ = 103369100072040. Its totient is φ = 101071347645312.

The previous prime is 102220220101093. The next prime is 102220220101157. The reversal of 102220220101121 is 121101022022201.

It can be written as a sum of positive squares in 4 ways, for example, as 32674210770496 + 69546009330625 = 5716136^2 + 8339425^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102220220101121 - 2³⁴ = 102203040231937 is a prime.

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 102220220101121.

It is not an unprimeable number, because it can be changed into a prime (102220220161121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28162211 + ... + 31584023.

It is an arithmetic number, because the mean of its divisors is an integer number (12921137509005).

Almost surely, 2^{102220220101121} is an apocalyptic number.

It is an amenable number.

102220220101121 is a deficient number, since it is larger than the sum of its proper divisors (1148879970919).

102220220101121 is an equidigital number, since it uses as much as digits as its factorization.

102220220101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3757555.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102220220101121 its reverse (121101022022201), we get a palindrome (223321242123322).

The spelling of 102220220101121 in words is "one hundred two trillion, two hundred twenty billion, two hundred twenty million, one hundred one thousand, one hundred twenty-one".