1010002010081 has 2 divisors, whose sum is σ = 1010002010082. Its totient is φ = 1010002010080.

The previous prime is 1010002010053. The next prime is 1010002010119. The reversal of 1010002010081 is 1800102000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 999982000081 + 10020010000 = 999991^2 + 100100^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010002010081 is a prime.

It is a super-2 number, since 2×1010002010081² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1010002010011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505001005040 + 505001005041.

It is an arithmetic number, because the mean of its divisors is an integer number (505001005041).

Almost surely, 2^{1010002010081} is an apocalyptic number.

It is an amenable number.

1010002010081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010002010081 is an equidigital number, since it uses as much as digits as its factorization.

1010002010081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1010002010081 its reverse (1800102000101), we get a palindrome (2810104010182).

The spelling of 1010002010081 in words is "one trillion, ten billion, two million, ten thousand, eighty-one".