10011202202112 has 80 divisors (see below), whose sum is σ = 26689164096672. Its totient is φ = 3334728151040.

The previous prime is 10011202202101. The next prime is 10011202202119. The reversal of 10011202202112 is 21120220211001.

It is a junction number, because it is equal to n+sod(n) for n = 10011202202091 and 10011202202100.

It is not an unprimeable number, because it can be changed into a prime (10011202202119) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 91839 + ... + 4475582.

Almost surely, 2^{10011202202112} is an apocalyptic number.

10011202202112 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 10011202202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13344582048336).

10011202202112 is an abundant number, since it is smaller than the sum of its proper divisors (16677961894560).

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

10011202202112 is an equidigital number, since it uses as much as digits as its factorization.

10011202202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568869 (or 4568853 counting only the distinct ones).

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

Adding to 10011202202112 its reverse (21120220211001), we get a palindrome (31131422413113).

The spelling of 10011202202112 in words is "ten trillion, eleven billion, two hundred two million, two hundred two thousand, one hundred twelve".