101000001019991 has 2 divisors, whose sum is σ = 101000001019992. Its totient is φ = 101000001019990.

The previous prime is 101000001019913. The next prime is 101000001020053. The reversal of 101000001019991 is 199910100000101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101000001019991 - 2¹⁴ = 101000001003607 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000001019391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500000509995 + 50500000509996.

It is an arithmetic number, because the mean of its divisors is an integer number (50500000509996).

Almost surely, 2^{101000001019991} is an apocalyptic number.

101000001019991 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000001019991 is an equidigital number, since it uses as much as digits as its factorization.

101000001019991 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 32.

The spelling of 101000001019991 in words is "one hundred one trillion, one million, nineteen thousand, nine hundred ninety-one".