10031112102211 has 2 divisors, whose sum is σ = 10031112102212. Its totient is φ = 10031112102210.

The previous prime is 10031112102043. The next prime is 10031112102233. The reversal of 10031112102211 is 11220121113001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10031112102211 - 2¹³ = 10031112094019 is a prime.

It is a super-2 number, since 2×10031112102211² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10031112142211) 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 as a sum of consecutive naturals, namely, 5015556051105 + 5015556051106.

It is an arithmetic number, because the mean of its divisors is an integer number (5015556051106).

Almost surely, 2^{10031112102211} is an apocalyptic number.

10031112102211 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031112102211 is an equidigital number, since it uses as much as digits as its factorization.

10031112102211 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10031112102211 its reverse (11220121113001), we get a palindrome (21251233215212).

The spelling of 10031112102211 in words is "ten trillion, thirty-one billion, one hundred twelve million, one hundred two thousand, two hundred eleven".