212211020100001 has 8 divisors (see below), whose sum is σ = 241978176765864. Its totient is φ = 184364325154560.

The previous prime is 212211020099921. The next prime is 212211020100029. The reversal of 212211020100001 is 100001020112212.

It can be written as a sum of positive squares in 4 ways, for example, as 40448633285776 + 171762386814225 = 6359924^2 + 13105815^2 .

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 212211020100001 - 2¹⁷ = 212211019968929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (212211020100031) 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, 480115429870 + ... + 480115430311.

It is an arithmetic number, because the mean of its divisors is an integer number (30247272095733).

Almost surely, 2^{212211020100001} is an apocalyptic number.

It is an amenable number.

212211020100001 is a deficient number, since it is larger than the sum of its proper divisors (29767156665863).

212211020100001 is a wasteful number, since it uses less digits than its factorization.

212211020100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960230860211.

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

Adding to 212211020100001 its reverse (100001020112212), we get a palindrome (312212040212213).

The spelling of 212211020100001 in words is "two hundred twelve trillion, two hundred eleven billion, twenty million, one hundred thousand, one".