10022100120100 has 18 divisors (see below), whose sum is σ = 21747957260834. Its totient is φ = 4008840048000.

The previous prime is 10022100120089. The next prime is 10022100120113. The reversal of 10022100120100 is 102100122001.

It can be written as a sum of positive squares in 3 ways, for example, as 8938567936 + 10013161552164 = 94544^2 + 3164358^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50110500501 + ... + 50110500700.

Almost surely, 2^{10022100120100} is an apocalyptic number.

10022100120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022100120100 is an abundant number, since it is smaller than the sum of its proper divisors (11725857140734).

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

10022100120100 is a wasteful number, since it uses less digits than its factorization.

10022100120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100221001215 (or 100221001208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10022100120100 its reverse (102100122001), we get a palindrome (10124200242101).

The spelling of 10022100120100 in words is "ten trillion, twenty-two billion, one hundred million, one hundred twenty thousand, one hundred".