101000112001991 has 2 divisors, whose sum is σ = 101000112001992. Its totient is φ = 101000112001990.

The previous prime is 101000112001927. The next prime is 101000112002033. The reversal of 101000112001991 is 199100211000101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101000112001991 - 2⁶ = 101000112001927 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101000112001991.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000112031991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500056000995 + 50500056000996.

It is an arithmetic number, because the mean of its divisors is an integer number (50500056000996).

Almost surely, 2^{101000112001991} is an apocalyptic number.

101000112001991 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000112001991 is an equidigital number, since it uses as much as digits as its factorization.

101000112001991 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 26.

The spelling of 101000112001991 in words is "one hundred one trillion, one hundred twelve million, one thousand, nine hundred ninety-one".