10022121202081 has 2 divisors, whose sum is σ = 10022121202082. Its totient is φ = 10022121202080.

The previous prime is 10022121202003. The next prime is 10022121202123. The reversal of 10022121202081 is 18020212122001.

10022121202081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10020643491600 + 1477710481 = 3165540^2 + 38441^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022121202081 - 2⁴¹ = 7823097946529 is a prime.

It is a super-2 number, since 2×10022121202081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10022121200081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011060601040 + 5011060601041.

It is an arithmetic number, because the mean of its divisors is an integer number (5011060601041).

Almost surely, 2^{10022121202081} is an apocalyptic number.

It is an amenable number.

10022121202081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022121202081 is an equidigital number, since it uses as much as digits as its factorization.

10022121202081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 10022121202081 its reverse (18020212122001), we get a palindrome (28042333324082).

The spelling of 10022121202081 in words is "ten trillion, twenty-two billion, one hundred twenty-one million, two hundred two thousand, eighty-one".