10031010112211 has 16 divisors (see below), whose sum is σ = 10995200409600. Its totient is φ = 9075636816000.

The previous prime is 10031010112169. The next prime is 10031010112223. The reversal of 10031010112211 is 11221101013001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10031010112211 is a prime.

It is a super-2 number, since 2×10031010112211² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10031010112231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653651 + ... + 4526508.

It is an arithmetic number, because the mean of its divisors is an integer number (687200025600).

Almost surely, 2^{10031010112211} is an apocalyptic number.

10031010112211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10031010112211 is a deficient number, since it is larger than the sum of its proper divisors (964190297389).

10031010112211 is a wasteful number, since it uses less digits than its factorization.

10031010112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5181010.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 10031010112211 its reverse (11221101013001), we get a palindrome (21252111125212).

The spelling of 10031010112211 in words is "ten trillion, thirty-one billion, ten million, one hundred twelve thousand, two hundred eleven".