110211210001 has 16 divisors (see below), whose sum is σ = 117198231696. Its totient is φ = 103280541696.

The previous prime is 110211209989. The next prime is 110211210023. The reversal of 110211210001 is 100012112011.

It can be written as a sum of positive squares in 8 ways, for example, as 451520001 + 109759690000 = 21249^2 + 331300^2 .

It is a 7-Lehmer number, since φ(110211210001) divides (110211210001-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 110211210001 - 2¹⁹ = 110210685713 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110211210001.

It is not an unprimeable number, because it can be changed into a prime (110211210101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15099985 + ... + 15107281.

It is an arithmetic number, because the mean of its divisors is an integer number (7324889481).

Almost surely, 2^110211210001 is an apocalyptic number.

It is an amenable number.

110211210001 is a deficient number, since it is larger than the sum of its proper divisors (6987021695).

110211210001 is a wasteful number, since it uses less digits than its factorization.

110211210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11028.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110211210001 its reverse (100012112011), we get a palindrome (210223322012).

The spelling of 110211210001 in words is "one hundred ten billion, two hundred eleven million, two hundred ten thousand, one".