1010013100021 has 2 divisors, whose sum is σ = 1010013100022. Its totient is φ = 1010013100020.

The previous prime is 1010013100001. The next prime is 1010013100067. The reversal of 1010013100021 is 1200013100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1008708879025 + 1304220996 = 1004345^2 + 36114^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010013100021 - 2²³ = 1010004711413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010013099980 and 1010013100007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010013100001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505006550010 + 505006550011.

It is an arithmetic number, because the mean of its divisors is an integer number (505006550011).

Almost surely, 2^{1010013100021} is an apocalyptic number.

It is an amenable number.

1010013100021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010013100021 is an equidigital number, since it uses as much as digits as its factorization.

1010013100021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1010013100021 its reverse (1200013100101), we get a palindrome (2210026200122).

The spelling of 1010013100021 in words is "one trillion, ten billion, thirteen million, one hundred thousand, twenty-one".