10002021122081 has 2 divisors, whose sum is σ = 10002021122082. Its totient is φ = 10002021122080.

The previous prime is 10002021122053. The next prime is 10002021122161. The reversal of 10002021122081 is 18022112020001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9091485313681 + 910535808400 = 3015209^2 + 954220^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002021122081 - 2⁶ = 10002021122017 is a prime.

It is a super-2 number, since 2×10002021122081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10002021122981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001010561040 + 5001010561041.

It is an arithmetic number, because the mean of its divisors is an integer number (5001010561041).

Almost surely, 2^{10002021122081} is an apocalyptic number.

It is an amenable number.

10002021122081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002021122081 is an equidigital number, since it uses as much as digits as its factorization.

10002021122081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 10002021122081 its reverse (18022112020001), we get a palindrome (28024133142082).

The spelling of 10002021122081 in words is "ten trillion, two billion, twenty-one million, one hundred twenty-two thousand, eighty-one".