10010110111001 has 96 divisors (see below), whose sum is σ = 14403897446400. Its totient is φ = 6819356718720.

The previous prime is 10010110110943. The next prime is 10010110111009. The reversal of 10010110111001 is 10011101101001.

It is not a de Polignac number, because 10010110111001 - 2⁶ = 10010110110937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010110111001.

It is not an unprimeable number, because it can be changed into a prime (10010110111009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 702801986 + ... + 702816228.

It is an arithmetic number, because the mean of its divisors is an integer number (150040598400).

Almost surely, 2^{10010110111001} is an apocalyptic number.

10010110111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010110111001 is a deficient number, since it is larger than the sum of its proper divisors (4393787335399).

10010110111001 is a wasteful number, since it uses less digits than its factorization.

10010110111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19579 (or 19572 counting only the distinct ones).

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

Adding to 10010110111001 its reverse (10011101101001), we get a palindrome (20021211212002).

It can be divided in two parts, 10010 and 110111001, that added together give a palindrome (110121011).

The spelling of 10010110111001 in words is "ten trillion, ten billion, one hundred ten million, one hundred eleven thousand, one".