210111100001001 has 6 divisors (see below), whose sum is σ = 303493811112570. Its totient is φ = 140074066667328.

The previous prime is 210111100000973. The next prime is 210111100001003. The reversal of 210111100001001 is 100100001111012.

It can be written as a sum of positive squares in only one way, i.e., 178355891450025 + 31755208550976 = 13354995^2 + 5635176^2 .

It is not a de Polignac number, because 210111100001001 - 2³¹ = 210108952517353 is a prime.

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: 23345677777889 = 210111100001001 / (2 + 1 + 0 + 1 + 1 + 1 + 1 + 0 + 0 + 0 + 0 + 1 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (210111100001003) 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, 11672838888936 + ... + 11672838888953.

It is an arithmetic number, because the mean of its divisors is an integer number (50582301852095).

Almost surely, 2^{210111100001001} is an apocalyptic number.

It is an amenable number.

210111100001001 is a deficient number, since it is larger than the sum of its proper divisors (93382711111569).

210111100001001 is a wasteful number, since it uses less digits than its factorization.

210111100001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23345677777895 (or 23345677777892 counting only the distinct ones).

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

Adding to 210111100001001 its reverse (100100001111012), we get a palindrome (310211101112013).

The spelling of 210111100001001 in words is "two hundred ten trillion, one hundred eleven billion, one hundred million, one thousand, one".