212122121210001 has 12 divisors (see below), whose sum is σ = 314679663297012. Its totient is φ = 137592727271136.

The previous prime is 212122121209963. The next prime is 212122121210023. The reversal of 212122121210001 is 100012121221212.

212122121210001 is a `hidden beast` number, since 212 + 1 + 221 + 21 + 210 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 194223941780625 + 17898179429376 = 13936425^2 + 4230624^2 .

It is not a de Polignac number, because 212122121210001 - 2⁶ = 212122121209937 is a prime.

It is a super-2 number, since 2×212122121210001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212122121210201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318501683166 + ... + 318501683831.

It is an arithmetic number, because the mean of its divisors is an integer number (26223305274751).

Almost surely, 2^{212122121210001} is an apocalyptic number.

It is an amenable number.

212122121210001 is a deficient number, since it is larger than the sum of its proper divisors (102557542087011).

212122121210001 is a wasteful number, since it uses less digits than its factorization.

212122121210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637003367040 (or 637003367037 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212122121210001 its reverse (100012121221212), we get a palindrome (312134242431213).

It can be divided in two parts, 2121221212 and 10001, that multiplied together give a palindrome (21214333341212).

The spelling of 212122121210001 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred ten thousand, one".