10220102222101 has 6 divisors (see below), whose sum is σ = 10856648381570. Its totient is φ = 9618919738176.

The previous prime is 10220102222089. The next prime is 10220102222159. The reversal of 10220102222101 is 10122220102201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5604350757201 + 4615751464900 = 2367351^2 + 2148430^2 .

It is not a de Polignac number, because 10220102222101 - 2²⁹ = 10219565351189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220102222171) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17681837466 + ... + 17681838043.

Almost surely, 2^{10220102222101} is an apocalyptic number.

It is an amenable number.

10220102222101 is a deficient number, since it is larger than the sum of its proper divisors (636546159469).

10220102222101 is an equidigital number, since it uses as much as digits as its factorization.

10220102222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35363675543 (or 35363675526 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10220102222101 its reverse (10122220102201), we get a palindrome (20342322324302).

It can be divided in two parts, 10220 and 102222101, that added together give a square (102232321 = 10111²).

The spelling of 10220102222101 in words is "ten trillion, two hundred twenty billion, one hundred two million, two hundred twenty-two thousand, one hundred one".