10000002000101 has 2 divisors, whose sum is σ = 10000002000102. Its totient is φ = 10000002000100.

The previous prime is 10000002000097. The next prime is 10000002000139. The reversal of 10000002000101 is 10100020000001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6351539091076 + 3648462909025 = 2520226^2 + 1910095^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000002000101 - 2² = 10000002000097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000002000701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000001000050 + 5000001000051.

It is an arithmetic number, because the mean of its divisors is an integer number (5000001000051).

Almost surely, 2^{10000002000101} is an apocalyptic number.

It is an amenable number.

10000002000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000002000101 is an equidigital number, since it uses as much as digits as its factorization.

10000002000101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10000002000101 its reverse (10100020000001), we get a palindrome (20100022000102).

The spelling of 10000002000101 in words is "ten trillion, two million, one hundred one", and thus it is an aban number.