2101000019971 has 2 divisors, whose sum is σ = 2101000019972. Its totient is φ = 2101000019970.

The previous prime is 2101000019891. The next prime is 2101000020017. The reversal of 2101000019971 is 1799100001012.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2101000019971 - 2¹¹ = 2101000017923 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101000019171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050500009985 + 1050500009986.

It is an arithmetic number, because the mean of its divisors is an integer number (1050500009986).

Almost surely, 2^{2101000019971} is an apocalyptic number.

2101000019971 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101000019971 is an equidigital number, since it uses as much as digits as its factorization.

2101000019971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 31.

The spelling of 2101000019971 in words is "two trillion, one hundred one billion, nineteen thousand, nine hundred seventy-one".