101011112219993 has 2 divisors, whose sum is σ = 101011112219994. Its totient is φ = 101011112219992.

The previous prime is 101011112219957. The next prime is 101011112220061. The reversal of 101011112219993 is 399912211110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57208846704409 + 43802265515584 = 7563653^2 + 6618328^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011112219993 - 2⁸ = 101011112219737 is a prime.

It is a super-3 number, since 3×101011112219993³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101011112219993.

It is not a weakly prime, because it can be changed into another prime (101011112219293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505556109996 + 50505556109997.

It is an arithmetic number, because the mean of its divisors is an integer number (50505556109997).

Almost surely, 2^{101011112219993} is an apocalyptic number.

It is an amenable number.

101011112219993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011112219993 is an equidigital number, since it uses as much as digits as its factorization.

101011112219993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 41.

The spelling of 101011112219993 in words is "one hundred one trillion, eleven billion, one hundred twelve million, two hundred nineteen thousand, nine hundred ninety-three".