212122011001 has 8 divisors (see below), whose sum is σ = 225563728104. Its totient is φ = 198787399680.

The previous prime is 212122010993. The next prime is 212122011047. The reversal of 212122011001 is 100110221212.

212122011001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6497401 + 212115513600 = 2549^2 + 460560^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212122011001 - 2³ = 212122010993 is a prime.

It is a super-2 number, since 2×212122011001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212122011071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26772360 + ... + 26780281.

It is an arithmetic number, because the mean of its divisors is an integer number (28195466013).

Almost surely, 2^212122011001 is an apocalyptic number.

It is an amenable number.

212122011001 is a deficient number, since it is larger than the sum of its proper divisors (13441717103).

212122011001 is a wasteful number, since it uses less digits than its factorization.

212122011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53552891.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212122011001 its reverse (100110221212), we get a palindrome (312232232213).

The spelling of 212122011001 in words is "two hundred twelve billion, one hundred twenty-two million, eleven thousand, one".