10212121221101 has 2 divisors, whose sum is σ = 10212121221102. Its totient is φ = 10212121221100.

The previous prime is 10212121221061. The next prime is 10212121221131. The reversal of 10212121221101 is 10112212121201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10207961100100 + 4160121001 = 3194990^2 + 64499^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10212121221101 is a prime.

It is a super-2 number, since 2×10212121221101² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10212121221101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10212121221131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106060610550 + 5106060610551.

It is an arithmetic number, because the mean of its divisors is an integer number (5106060610551).

Almost surely, 2^{10212121221101} is an apocalyptic number.

It is an amenable number.

10212121221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212121221101 is an equidigital number, since it uses as much as digits as its factorization.

10212121221101 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 17.

Adding to 10212121221101 its reverse (10112212121201), we get a palindrome (20324333342302).

The spelling of 10212121221101 in words is "ten trillion, two hundred twelve billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred one".