10111112010101 has 2 divisors, whose sum is σ = 10111112010102. Its totient is φ = 10111112010100.

The previous prime is 10111112010023. The next prime is 10111112010107. The reversal of 10111112010101 is 10101021111101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9762037829476 + 349074180625 = 3124426^2 + 590825^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10111112010101 is a prime.

It is a super-3 number, since 3×10111112010101³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111112010107) 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, 5055556005050 + 5055556005051.

It is an arithmetic number, because the mean of its divisors is an integer number (5055556005051).

Almost surely, 2^{10111112010101} is an apocalyptic number.

It is an amenable number.

10111112010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111112010101 is an equidigital number, since it uses as much as digits as its factorization.

10111112010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10111112010101 its reverse (10101021111101), we get a palindrome (20212133121202).

The spelling of 10111112010101 in words is "ten trillion, one hundred eleven billion, one hundred twelve million, ten thousand, one hundred one".