101331011001199 has 24 divisors (see below), whose sum is σ = 118015326859248. Its totient is φ = 86751654393600.

The previous prime is 101331011001169. The next prime is 101331011001221. The reversal of 101331011001199 is 991100110133101.

It is not a de Polignac number, because 101331011001199 - 2¹⁵ = 101331010968431 is a prime.

It is a super-2 number, since 2×101331011001199² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101331011001199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331011001169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 852170649 + ... + 852289549.

It is an arithmetic number, because the mean of its divisors is an integer number (4917305285802).

Almost surely, 2^{101331011001199} is an apocalyptic number.

101331011001199 is a deficient number, since it is larger than the sum of its proper divisors (16684315858049).

101331011001199 is a wasteful number, since it uses less digits than its factorization.

101331011001199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139495 (or 139488 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 31.

The spelling of 101331011001199 in words is "one hundred one trillion, three hundred thirty-one billion, eleven million, one thousand, one hundred ninety-nine".