10011122111001 has 16 divisors (see below), whose sum is σ = 14705806742208. Its totient is φ = 6007273992000.

The previous prime is 10011122110967. The next prime is 10011122111017.

10011122111001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10011122111001 - 2¹⁵ = 10011122078233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10011122131001) 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, 1501815166 + ... + 1501821831.

It is an arithmetic number, because the mean of its divisors is an integer number (919112921388).

Almost surely, 2^{10011122111001} is an apocalyptic number.

10011122111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011122111001 is a deficient number, since it is larger than the sum of its proper divisors (4694684631207).

10011122111001 is a wasteful number, since it uses less digits than its factorization.

10011122111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003637112.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 1001112 and 2111001, that multiplied together give a palindrome (2113348433112).

The spelling of 10011122111001 in words is "ten trillion, eleven billion, one hundred twenty-two million, one hundred eleven thousand, one".