10100011101111 has 48 divisors (see below), whose sum is σ = 15162366304800. Its totient is φ = 6473123610624.

The previous prime is 10100011101101. The next prime is 10100011101119. The reversal of 10100011101111 is 11110111000101.

It is not a de Polignac number, because 10100011101111 - 2²⁶ = 10099943992247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10100011101093 and 10100011101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100011101119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41637600 + ... + 41879466.

It is an arithmetic number, because the mean of its divisors is an integer number (315882631350).

Almost surely, 2^{10100011101111} is an apocalyptic number.

10100011101111 is a deficient number, since it is larger than the sum of its proper divisors (5062355203689).

10100011101111 is a wasteful number, since it uses less digits than its factorization.

10100011101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243408 (or 243405 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10100011101111 its reverse (11110111000101), we get a palindrome (21210122101212).

It can be divided in two parts, 1010001 and 1101111, that added together give a palindrome (2111112).

The spelling of 10100011101111 in words is "ten trillion, one hundred billion, eleven million, one hundred one thousand, one hundred eleven".