10012200220113 has 192 divisors, whose sum is σ = 17420046336000. Its totient is φ = 5065522914816.

The previous prime is 10012200220027. The next prime is 10012200220133. The reversal of 10012200220113 is 31102200221001.

It is not a de Polignac number, because 10012200220113 - 2⁹ = 10012200219601 is a prime.

It is a super-4 number, since 4×10012200220113⁴ (a number of 53 digits) contains 4444 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10012200220092 and 10012200220101.

It is not an unprimeable number, because it can be changed into a prime (10012200220133) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5691983328 + ... + 5691985086.

It is an arithmetic number, because the mean of its divisors is an integer number (90729408000).

Almost surely, 2^{10012200220113} is an apocalyptic number.

10012200220113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10012200220113 is a deficient number, since it is larger than the sum of its proper divisors (7407846115887).

10012200220113 is a wasteful number, since it uses less digits than its factorization.

10012200220113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10012200220113 its reverse (31102200221001), we get a palindrome (41114400441114).

The spelling of 10012200220113 in words is "ten trillion, twelve billion, two hundred million, two hundred twenty thousand, one hundred thirteen".