101010000100001 has 2 divisors, whose sum is σ = 101010000100002. Its totient is φ = 101010000100000.

The previous prime is 101010000099979. The next prime is 101010000100007. The reversal of 101010000100001 is 100001000010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100980873557776 + 29126542225 = 10048924^2 + 170665^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101010000100001 is a prime.

101010000100001 is a modest number, since divided by 100001 gives 10101 as remainder.

It is not a weakly prime, because it can be changed into another prime (101010000100007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000050000 + 50505000050001.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000050001).

Almost surely, 2^{101010000100001} is an apocalyptic number.

It is an amenable number.

101010000100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010000100001 is an equidigital number, since it uses as much as digits as its factorization.

101010000100001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101010000100001 its reverse (100001000010101), we get a palindrome (201011000110102).

The spelling of 101010000100001 in words is "one hundred one trillion, ten billion, one hundred thousand, one".