10101111100011 has 48 divisors (see below), whose sum is σ = 16165656640224. Its totient is φ = 6050303880192.

The previous prime is 10101111100007. The next prime is 10101111100043. The reversal of 10101111100011 is 11000111110101.

It is not a de Polignac number, because 10101111100011 - 2² = 10101111100007 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 = 10101111099966 and 10101111100002.

It is not an unprimeable number, because it can be changed into a prime (10101111100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16533301 + ... + 17133366.

It is an arithmetic number, because the mean of its divisors is an integer number (336784513338).

Almost surely, 2^{10101111100011} is an apocalyptic number.

10101111100011 is a deficient number, since it is larger than the sum of its proper divisors (6064545540213).

10101111100011 is a wasteful number, since it uses less digits than its factorization.

10101111100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33666780 (or 33666777 counting only the distinct ones).

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

Adding to 10101111100011 its reverse (11000111110101), we get a palindrome (21101222210112).

The spelling of 10101111100011 in words is "ten trillion, one hundred one billion, one hundred eleven million, one hundred thousand, eleven".