10010110100011 has 16 divisors (see below), whose sum is σ = 12341622988224. Its totient is φ = 7923017217024.

The previous prime is 10010110099963. The next prime is 10010110100017. The reversal of 10010110100011 is 11000101101001.

It is a happy number.

It is not a de Polignac number, because 10010110100011 - 2⁹ = 10010110099499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010110099967 and 10010110100003.

It is not an unprimeable number, because it can be changed into a prime (10010110100017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 793565130 + ... + 793577743.

It is an arithmetic number, because the mean of its divisors is an integer number (771351436764).

Almost surely, 2^{10010110100011} is an apocalyptic number.

10010110100011 is a deficient number, since it is larger than the sum of its proper divisors (2331512888213).

10010110100011 is a wasteful number, since it uses less digits than its factorization.

10010110100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587142950.

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

Adding to 10010110100011 its reverse (11000101101001), we get a palindrome (21010211201012).

The spelling of 10010110100011 in words is "ten trillion, ten billion, one hundred ten million, one hundred thousand, eleven".