1820010100057 has 2 divisors, whose sum is σ = 1820010100058. Its totient is φ = 1820010100056.

The previous prime is 1820010100001. The next prime is 1820010100061. The reversal of 1820010100057 is 7500010100281.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1685593276416 + 134416823641 = 1298304^2 + 366629^2 .

It is a cyclic number.

It is not a de Polignac number, because 1820010100057 - 2²⁷ = 1819875882329 is a prime.

It is not a weakly prime, because it can be changed into another prime (1820010100157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 910005050028 + 910005050029.

It is an arithmetic number, because the mean of its divisors is an integer number (910005050029).

Almost surely, 2^{1820010100057} is an apocalyptic number.

It is an amenable number.

1820010100057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1820010100057 is an equidigital number, since it uses as much as digits as its factorization.

1820010100057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 560, while the sum is 25.

The spelling of 1820010100057 in words is "one trillion, eight hundred twenty billion, ten million, one hundred thousand, fifty-seven".