101022012009991 has 2 divisors, whose sum is σ = 101022012009992. Its totient is φ = 101022012009990.

The previous prime is 101022012009949. The next prime is 101022012010009. The reversal of 101022012009991 is 199900210220101.

It is a strong prime.

It is an emirp because it is prime and its reverse (199900210220101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101022012009991 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101022012009991.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101022012007991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511006004995 + 50511006004996.

It is an arithmetic number, because the mean of its divisors is an integer number (50511006004996).

Almost surely, 2^{101022012009991} is an apocalyptic number.

101022012009991 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022012009991 is an equidigital number, since it uses as much as digits as its factorization.

101022012009991 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 37.

The spelling of 101022012009991 in words is "one hundred one trillion, twenty-two billion, twelve million, nine thousand, nine hundred ninety-one".