10020002002061 has 2 divisors, whose sum is σ = 10020002002062. Its totient is φ = 10020002002060.

The previous prime is 10020002002019. The next prime is 10020002002079. The reversal of 10020002002061 is 16020020002001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9649006501225 + 370995500836 = 3106285^2 + 609094^2 .

It is an emirp because it is prime and its reverse (16020020002001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10020002002061 - 2²⁶ = 10019934893197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10020002002081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010001001030 + 5010001001031.

It is an arithmetic number, because the mean of its divisors is an integer number (5010001001031).

Almost surely, 2^{10020002002061} is an apocalyptic number.

It is an amenable number.

10020002002061 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020002002061 is an equidigital number, since it uses as much as digits as its factorization.

10020002002061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10020002002061 its reverse (16020020002001), we get a palindrome (26040022004062).

The spelling of 10020002002061 in words is "ten trillion, twenty billion, two million, two thousand, sixty-one".