10100001101111 has 12 divisors (see below), whose sum is σ = 10802453175696. Its totient is φ = 9425239591680.

The previous prime is 10100001101089. The next prime is 10100001101129. The reversal of 10100001101111 is 11110110000101.

It is not a de Polignac number, because 10100001101111 - 2¹⁴ = 10100001084727 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100001101171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130577186 + ... + 130654511.

It is an arithmetic number, because the mean of its divisors is an integer number (900204431308).

Almost surely, 2^{10100001101111} is an apocalyptic number.

10100001101111 is a deficient number, since it is larger than the sum of its proper divisors (702452074585).

10100001101111 is an equidigital number, since it uses as much as digits as its factorization.

10100001101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261231802 (or 261231761 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10100001101111 its reverse (11110110000101), we get a palindrome (21210111101212).

The spelling of 10100001101111 in words is "ten trillion, one hundred billion, one million, one hundred one thousand, one hundred eleven".