11000111021001 has 6 divisors (see below), whose sum is σ = 15889049252570. Its totient is φ = 7333407347328.

The previous prime is 11000111020939. The next prime is 11000111021047. The reversal of 11000111021001 is 10012011100011.

It can be written as a sum of positive squares in only one way, i.e., 10978487024400 + 21623996601 = 3313380^2 + 147051^2 .

It is not a de Polignac number, because 11000111021001 - 2²¹ = 11000108923849 is a prime.

It is a super-3 number, since 3×11000111021001³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1222234557889 = 11000111021001 / (1 + 1 + 0 + 0 + 0 + 1 + 1 + 1 + 0 + 2 + 1 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11000111021051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 611117278936 + ... + 611117278953.

Almost surely, 2^{11000111021001} is an apocalyptic number.

It is an amenable number.

11000111021001 is a deficient number, since it is larger than the sum of its proper divisors (4888938231569).

11000111021001 is a wasteful number, since it uses less digits than its factorization.

11000111021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222234557895 (or 1222234557892 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11000111021001 its reverse (10012011100011), we get a palindrome (21012122121012).

The spelling of 11000111021001 in words is "eleven trillion, one hundred eleven million, twenty-one thousand, one".