10001122202112 has 160 divisors (see below), whose sum is σ = 26787737856000. Its totient is φ = 3315687395328.

The previous prime is 10001122202107. The next prime is 10001122202129. The reversal of 10001122202112 is 21120222110001.

It is a super-3 number, since 3×10001122202112³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001122202091 and 10001122202100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1139205339 + ... + 1139214117.

It is an arithmetic number, because the mean of its divisors is an integer number (167423361600).

Almost surely, 2^{10001122202112} is an apocalyptic number.

10001122202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001122202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13393868928000).

10001122202112 is an abundant number, since it is smaller than the sum of its proper divisors (16786615653888).

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

10001122202112 is an equidigital number, since it uses as much as digits as its factorization.

10001122202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12726 (or 12710 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10001122202112 its reverse (21120222110001), we get a palindrome (31121344312113).

The spelling of 10001122202112 in words is "ten trillion, one billion, one hundred twenty-two million, two hundred two thousand, one hundred twelve".