212122102021001 has 16 divisors (see below), whose sum is σ = 219673603002960. Its totient is φ = 204702244581120.

The previous prime is 212122102020979. The next prime is 212122102021099. The reversal of 212122102021001 is 100120201221212.

It can be written as a sum of positive squares in 8 ways, for example, as 74942350455625 + 137179751565376 = 8656925^2 + 11712376^2 .

It is a cyclic number.

It is not a de Polignac number, because 212122102021001 - 2²² = 212122097826697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212122102041001) 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, 116431355 + ... + 118239183.

It is an arithmetic number, because the mean of its divisors is an integer number (13729600187685).

Almost surely, 2^{212122102021001} is an apocalyptic number.

It is an amenable number.

212122102021001 is a deficient number, since it is larger than the sum of its proper divisors (7551500981959).

212122102021001 is a wasteful number, since it uses less digits than its factorization.

212122102021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844236.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212122102021001 its reverse (100120201221212), we get a palindrome (312242303242213).

The spelling of 212122102021001 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred two million, twenty-one thousand, one".