211020110001 has 72 divisors (see below), whose sum is σ = 325040625000. Its totient is φ = 131896387584.

The previous prime is 211020109967. The next prime is 211020110011. The reversal of 211020110001 is 100011020112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12996000000 + 198024110001 = 114000^2 + 444999^2 .

It is not a de Polignac number, because 211020110001 - 2²⁹ = 210483239089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (211020110011) 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 71 ways as a sum of consecutive naturals, for example, 168950625 + ... + 168951873.

It is an arithmetic number, because the mean of its divisors is an integer number (4514453125).

Almost surely, 2^211020110001 is an apocalyptic number.

It is an amenable number.

211020110001 is a deficient number, since it is larger than the sum of its proper divisors (114020514999).

211020110001 is a wasteful number, since it uses less digits than its factorization.

211020110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 211020110001 its reverse (100011020112), we get a palindrome (311031130113).

The spelling of 211020110001 in words is "two hundred eleven billion, twenty million, one hundred ten thousand, one".