10010100100111 has 2 divisors, whose sum is σ = 10010100100112. Its totient is φ = 10010100100110.

The previous prime is 10010100100103. The next prime is 10010100100151. The reversal of 10010100100111 is 11100100101001.

It is a happy number.

10010100100111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10010100100111 - 2³ = 10010100100103 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010100100094 and 10010100100103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010100100151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005050050055 + 5005050050056.

It is an arithmetic number, because the mean of its divisors is an integer number (5005050050056).

Almost surely, 2^{10010100100111} is an apocalyptic number.

10010100100111 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010100100111 is an equidigital number, since it uses as much as digits as its factorization.

10010100100111 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 10010100100111 its reverse (11100100101001), we get a palindrome (21110200201112).

The spelling of 10010100100111 in words is "ten trillion, ten billion, one hundred million, one hundred thousand, one hundred eleven".