10010000101111 has 2 divisors, whose sum is σ = 10010000101112. Its totient is φ = 10010000101110.

The previous prime is 10010000101099. The next prime is 10010000101141. The reversal of 10010000101111 is 11110100001001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10010000101111 - 2²¹ = 10009998003959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010000101094 and 10010000101103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010000101141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005000050555 + 5005000050556.

It is an arithmetic number, because the mean of its divisors is an integer number (5005000050556).

Almost surely, 2^{10010000101111} is an apocalyptic number.

10010000101111 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010000101111 is an equidigital number, since it uses as much as digits as its factorization.

10010000101111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10010000101111 its reverse (11110100001001), we get a palindrome (21120100102112).

The spelling of 10010000101111 in words is "ten trillion, ten billion, one hundred one thousand, one hundred eleven".