7000010100001 has 2 divisors, whose sum is σ = 7000010100002. Its totient is φ = 7000010100000.

The previous prime is 7000010099959. The next prime is 7000010100143. The reversal of 7000010100001 is 1000010100007.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5486950195776 + 1513059904225 = 2342424^2 + 1230065^2 .

It is an emirp because it is prime and its reverse (1000010100007) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7000010100001 - 2¹¹ = 7000010097953 is a prime.

It is not a weakly prime, because it can be changed into another prime (7000010100701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3500005050000 + 3500005050001.

It is an arithmetic number, because the mean of its divisors is an integer number (3500005050001).

Almost surely, 2^{7000010100001} is an apocalyptic number.

It is an amenable number.

7000010100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

7000010100001 is an equidigital number, since it uses as much as digits as its factorization.

7000010100001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 10.

Adding to 7000010100001 its reverse (1000010100007), we get a palindrome (8000020200008).

The spelling of 7000010100001 in words is "seven trillion, ten million, one hundred thousand, one".