10102220220100 has 18 divisors (see below), whose sum is σ = 21921817877834. Its totient is φ = 4040888088000.

The previous prime is 10102220220067. The next prime is 10102220220101. The reversal of 10102220220100 is 102202220101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4582748416 + 10097637471684 = 67696^2 + 3177678^2 .

It is not an unprimeable number, because it can be changed into a prime (10102220220101) 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, 50511101001 + ... + 50511101200.

Almost surely, 2^{10102220220100} is an apocalyptic number.

10102220220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102220220100 is an abundant number, since it is smaller than the sum of its proper divisors (11819597657734).

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

10102220220100 is a wasteful number, since it uses less digits than its factorization.

10102220220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101022202215 (or 101022202208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10102220220100 its reverse (102202220101), we get a palindrome (10204422440201).

The spelling of 10102220220100 in words is "ten trillion, one hundred two billion, two hundred twenty million, two hundred twenty thousand, one hundred".