10202222101000 has 64 divisors (see below), whose sum is σ = 24141438126000. Its totient is φ = 4035036121600.

The previous prime is 10202222100953. The next prime is 10202222101079. The reversal of 10202222101000 is 10122220201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 265239420196 + 9936982680804 = 515014^2 + 3152298^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57226855 + ... + 57404854.

Almost surely, 2^{10202222101000} is an apocalyptic number.

10202222101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202222101000 is an abundant number, since it is smaller than the sum of its proper divisors (13939216025000).

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

10202222101000 is a wasteful number, since it uses less digits than its factorization.

10202222101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114631819 (or 114631805 counting only the distinct ones).

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

Adding to 10202222101000 its reverse (10122220201), we get a palindrome (10212344321201).

The spelling of 10202222101000 in words is "ten trillion, two hundred two billion, two hundred twenty-two million, one hundred one thousand".