10000001001461 has 2 divisors, whose sum is σ = 10000001001462. Its totient is φ = 10000001001460.

The previous prime is 10000001001457. The next prime is 10000001001503. The reversal of 10000001001461 is 16410010000001.

10000001001461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9993628012900 + 6372988561 = 3161270^2 + 79831^2 .

It is an emirp because it is prime and its reverse (16410010000001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000001001461 - 2² = 10000001001457 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000001001161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000000500730 + 5000000500731.

It is an arithmetic number, because the mean of its divisors is an integer number (5000000500731).

Almost surely, 2^{10000001001461} is an apocalyptic number.

It is an amenable number.

10000001001461 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000001001461 is an equidigital number, since it uses as much as digits as its factorization.

10000001001461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10000001001461 its reverse (16410010000001), we get a palindrome (26410011001462).

The spelling of 10000001001461 in words is "ten trillion, one million, one thousand, four hundred sixty-one".