20010100000001 has 2 divisors, whose sum is σ = 20010100000002. Its totient is φ = 20010100000000.

The previous prime is 20010099999931. The next prime is 20010100000049. The reversal of 20010100000001 is 10000000101002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19955866905601 + 54233094400 = 4467199^2 + 232880^2 .

It is a cyclic number.

It is not a de Polignac number, because 20010100000001 - 2²² = 20010095805697 is a prime.

It is not a weakly prime, because it can be changed into another prime (20010100000061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10005050000000 + 10005050000001.

It is an arithmetic number, because the mean of its divisors is an integer number (10005050000001).

Almost surely, 2^{20010100000001} is an apocalyptic number.

It is an amenable number.

20010100000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20010100000001 is an equidigital number, since it uses as much as digits as its factorization.

20010100000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 20010100000001 its reverse (10000000101002), we get a palindrome (30010100101003).

The spelling of 20010100000001 in words is "twenty trillion, ten billion, one hundred million, one", and thus it is an aban number.