10100000011111 has 2 divisors, whose sum is σ = 10100000011112. Its totient is φ = 10100000011110.

The previous prime is 10100000011097. The next prime is 10100000011133. The reversal of 10100000011111 is 11111000000101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10100000011111 - 2²¹ = 10099997913959 is a prime.

10100000011111 is a modest number, since divided by 11111 gives 1010 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10100000011094 and 10100000011103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100000012111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000005555 + 5050000005556.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000005556).

Almost surely, 2^{10100000011111} is an apocalyptic number.

10100000011111 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100000011111 is an equidigital number, since it uses as much as digits as its factorization.

10100000011111 is an evil number, because the sum of its binary digits is even.

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

Adding to 10100000011111 its reverse (11111000000101), we get a palindrome (21211000011212).

The spelling of 10100000011111 in words is "ten trillion, one hundred billion, eleven thousand, one hundred eleven".