101012112210991 has 2 divisors, whose sum is σ = 101012112210992. Its totient is φ = 101012112210990.

The previous prime is 101012112210931. The next prime is 101012112211033. The reversal of 101012112210991 is 199012211210101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101012112210991 - 2¹⁵ = 101012112178223 is a prime.

It is a super-3 number, since 3×101012112210991³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012112210931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506056105495 + 50506056105496.

It is an arithmetic number, because the mean of its divisors is an integer number (50506056105496).

Almost surely, 2^{101012112210991} is an apocalyptic number.

101012112210991 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012112210991 is an equidigital number, since it uses as much as digits as its factorization.

101012112210991 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 31.

The spelling of 101012112210991 in words is "one hundred one trillion, twelve billion, one hundred twelve million, two hundred ten thousand, nine hundred ninety-one".