212201011212101 has 8 divisors (see below), whose sum is σ = 212483917615608. Its totient is φ = 211918226680000.

The previous prime is 212201011212089. The next prime is 212201011212107. The reversal of 212201011212101 is 101212110102212.

It can be written as a sum of positive squares in 4 ways, for example, as 56834083201 + 212144177128900 = 238399^2 + 14565170^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212201011212101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212201011212101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201011212107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26982890 + ... + 33948171.

It is an arithmetic number, because the mean of its divisors is an integer number (26560489701951).

Almost surely, 2^{212201011212101} is an apocalyptic number.

It is an amenable number.

212201011212101 is a deficient number, since it is larger than the sum of its proper divisors (282906403507).

212201011212101 is an equidigital number, since it uses as much as digits as its factorization.

212201011212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60935703.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 212201011212101 its reverse (101212110102212), we get a palindrome (313413121314313).

The spelling of 212201011212101 in words is "two hundred twelve trillion, two hundred one billion, eleven million, two hundred twelve thousand, one hundred one".