1820010100061 has 2 divisors, whose sum is σ = 1820010100062. Its totient is φ = 1820010100060.

The previous prime is 1820010100057. The next prime is 1820010100063. The reversal of 1820010100061 is 1600010100281.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1325054232100 + 494955867961 = 1151110^2 + 703531^2 .

It is a cyclic number.

It is not a de Polignac number, because 1820010100061 - 2² = 1820010100057 is a prime.

Together with 1820010100063, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1820010100063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 910005050030 + 910005050031.

It is an arithmetic number, because the mean of its divisors is an integer number (910005050031).

Almost surely, 2^{1820010100061} is an apocalyptic number.

It is an amenable number.

1820010100061 is a deficient number, since it is larger than the sum of its proper divisors (1).

1820010100061 is an equidigital number, since it uses as much as digits as its factorization.

1820010100061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 20.

The spelling of 1820010100061 in words is "one trillion, eight hundred twenty billion, ten million, one hundred thousand, sixty-one".