1820010100001 has 2 divisors, whose sum is σ = 1820010100002. Its totient is φ = 1820010100000.

The previous prime is 1820010099979. The next prime is 1820010100057. The reversal of 1820010100001 is 1000010100281.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1360841235601 + 459168864400 = 1166551^2 + 677620^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1820010100001 is a prime.

It is not a weakly prime, because it can be changed into another prime (1820010100061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 910005050000 + 910005050001.

It is an arithmetic number, because the mean of its divisors is an integer number (910005050001).

Almost surely, 2^{1820010100001} is an apocalyptic number.

It is an amenable number.

1820010100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1820010100001 is an equidigital number, since it uses as much as digits as its factorization.

1820010100001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1820010100001 its reverse (1000010100281), we get a palindrome (2820020200282).

The spelling of 1820010100001 in words is "one trillion, eight hundred twenty billion, ten million, one hundred thousand, one".