212102121021001 has 16 divisors (see below), whose sum is σ = 219093503423760. Its totient is φ = 205222217241600.

The previous prime is 212102121020989. The next prime is 212102121021059. The reversal of 212102121021001 is 100120121201212.

It can be written as a sum of positive squares in 8 ways, for example, as 5632666808976 + 206469454212025 = 2373324^2 + 14369045^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212102121021001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212102101021001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25489051 + ... + 32770351.

It is an arithmetic number, because the mean of its divisors is an integer number (13693343963985).

Almost surely, 2^{212102121021001} is an apocalyptic number.

It is an amenable number.

212102121021001 is a deficient number, since it is larger than the sum of its proper divisors (6991382402759).

212102121021001 is an equidigital number, since it uses as much as digits as its factorization.

212102121021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7288956.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212102121021001 its reverse (100120121201212), we get a palindrome (312222242222213).

The spelling of 212102121021001 in words is "two hundred twelve trillion, one hundred two billion, one hundred twenty-one million, twenty-one thousand, one".