101222220002120 has 48 divisors (see below), whose sum is σ = 264933667663740. Its totient is φ = 34704761142912.

The previous prime is 101222220002117. The next prime is 101222220002129. The reversal of 101222220002120 is 21200022222101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 98659204714756 + 2563015287364 = 9932734^2 + 1600942^2 .

It is not an unprimeable number, because it can be changed into a prime (101222220002129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25821992939 + ... + 25821996858.

Almost surely, 2^{101222220002120} is an apocalyptic number.

101222220002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222220002120 is an abundant number, since it is smaller than the sum of its proper divisors (163711447661620).

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

101222220002120 is a wasteful number, since it uses less digits than its factorization.

101222220002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51643989822 (or 51643989811 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 101222220002120 its reverse (21200022222101), we get a palindrome (122422242224221).

The spelling of 101222220002120 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred twenty million, two thousand, one hundred twenty".