10012221010100 has 36 divisors (see below), whose sum is σ = 21950504351244. Its totient is φ = 3963600890880.

The previous prime is 10012221010097. The next prime is 10012221010123. The reversal of 10012221010100 is 101012221001.

It can be written as a sum of positive squares in 6 ways, for example, as 28668585124 + 9983552424976 = 169318^2 + 3159676^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516084167 + ... + 516103566.

It is an arithmetic number, because the mean of its divisors is an integer number (609736231979).

Almost surely, 2^{10012221010100} is an apocalyptic number.

10012221010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012221010100 is an abundant number, since it is smaller than the sum of its proper divisors (11938283341144).

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

10012221010100 is a wasteful number, since it uses less digits than its factorization.

10012221010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032187844 (or 1032187837 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10012221010100 its reverse (101012221001), we get a palindrome (10113233231101).

The spelling of 10012221010100 in words is "ten trillion, twelve billion, two hundred twenty-one million, ten thousand, one hundred".