100010102012221 has 2 divisors, whose sum is σ = 100010102012222. Its totient is φ = 100010102012220.

The previous prime is 100010102012207. The next prime is 100010102012237. The reversal of 100010102012221 is 122210201010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70592343705625 + 29417758306596 = 8401925^2 + 5423814^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010102012221 - 2¹⁵ = 100010101979453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010102012521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005051006110 + 50005051006111.

It is an arithmetic number, because the mean of its divisors is an integer number (50005051006111).

Almost surely, 2^{100010102012221} is an apocalyptic number.

It is an amenable number.

100010102012221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010102012221 is an equidigital number, since it uses as much as digits as its factorization.

100010102012221 is an evil number, because the sum of its binary digits is even.

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

Adding to 100010102012221 its reverse (122210201010001), we get a palindrome (222220303022222).

The spelling of 100010102012221 in words is "one hundred trillion, ten billion, one hundred two million, twelve thousand, two hundred twenty-one".