10001122100122 has 8 divisors (see below), whose sum is σ = 15003198348372. Its totient is φ = 5000055984000.

The previous prime is 10001122100113. The next prime is 10001122100183. The reversal of 10001122100122 is 22100122110001.

It can be written as a sum of positive squares in 2 ways, for example, as 8965227651601 + 1035894448521 = 2994199^2 + 1017789^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

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 3 ways as a sum of consecutive naturals, for example, 252508279 + ... + 252547882.

Almost surely, 2^{10001122100122} is an apocalyptic number.

10001122100122 is a deficient number, since it is larger than the sum of its proper divisors (5002076248250).

10001122100122 is an equidigital number, since it uses as much as digits as its factorization.

10001122100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505066064.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10001122100122 its reverse (22100122110001), we get a palindrome (32101244210123).

The spelling of 10001122100122 in words is "ten trillion, one billion, one hundred twenty-two million, one hundred thousand, one hundred twenty-two".