1010010001621 has 2 divisors, whose sum is σ = 1010010001622. Its totient is φ = 1010010001620.

The previous prime is 1010010001619. The next prime is 1010010001657. The reversal of 1010010001621 is 1261000100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 610062534225 + 399947467396 = 781065^2 + 632414^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010010001621 - 2¹ = 1010010001619 is a prime.

Together with 1010010001619, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010010001601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505005000810 + 505005000811.

It is an arithmetic number, because the mean of its divisors is an integer number (505005000811).

Almost surely, 2^{1010010001621} is an apocalyptic number.

It is an amenable number.

1010010001621 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010010001621 is an equidigital number, since it uses as much as digits as its factorization.

1010010001621 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1010010001621 its reverse (1261000100101), we get a palindrome (2271010101722).

The spelling of 1010010001621 in words is "one trillion, ten billion, ten million, one thousand, six hundred twenty-one".