10212202121101 has 2 divisors, whose sum is σ = 10212202121102. Its totient is φ = 10212202121100.

The previous prime is 10212202121087. The next prime is 10212202121129. The reversal of 10212202121101 is 10112120221201.

10212202121101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9656096345476 + 556105775625 = 3107426^2 + 745725^2 .

It is an emirp because it is prime and its reverse (10112120221201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10212202121101 - 2²⁵ = 10212168566669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10212202121801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106101060550 + 5106101060551.

It is an arithmetic number, because the mean of its divisors is an integer number (5106101060551).

Almost surely, 2^{10212202121101} is an apocalyptic number.

It is an amenable number.

10212202121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212202121101 is an equidigital number, since it uses as much as digits as its factorization.

10212202121101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10212202121101 its reverse (10112120221201), we get a palindrome (20324322342302).

The spelling of 10212202121101 in words is "ten trillion, two hundred twelve billion, two hundred two million, one hundred twenty-one thousand, one hundred one".