10122121221101 has 2 divisors, whose sum is σ = 10122121221102. Its totient is φ = 10122121221100.

The previous prime is 10122121221083. The next prime is 10122121221139. The reversal of 10122121221101 is 10112212122101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6228149131876 + 3893972089225 = 2495626^2 + 1973315^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122121221101 - 2¹⁰ = 10122121220077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10122121221101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122121251101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061060610550 + 5061060610551.

It is an arithmetic number, because the mean of its divisors is an integer number (5061060610551).

Almost surely, 2^{10122121221101} is an apocalyptic number.

It is an amenable number.

10122121221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122121221101 is an equidigital number, since it uses as much as digits as its factorization.

10122121221101 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 10122121221101 its reverse (10112212122101), we get a palindrome (20234333343202).

The spelling of 10122121221101 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred one".