212101020001 has 16 divisors (see below), whose sum is σ = 242566208640. Its totient is φ = 183839604480.

The previous prime is 212101019983. The next prime is 212101020007. The reversal of 212101020001 is 100020101212.

It is a cyclic number.

It is not a de Polignac number, because 212101020001 - 2³³ = 203511085409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212101020001.

It is not an unprimeable number, because it can be changed into a prime (212101020007) 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, 3771685 + ... + 3827506.

It is an arithmetic number, because the mean of its divisors is an integer number (15160388040).

Almost surely, 2^212101020001 is an apocalyptic number.

It is an amenable number.

212101020001 is a deficient number, since it is larger than the sum of its proper divisors (30465188639).

212101020001 is a wasteful number, since it uses less digits than its factorization.

212101020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7599336.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212101020001 its reverse (100020101212), we get a palindrome (312121121213).

The spelling of 212101020001 in words is "two hundred twelve billion, one hundred one million, twenty thousand, one".