101199033 has 48 divisors (see below), whose sum is σ = 164019856. Its totient is φ = 59719680.

The previous prime is 101199031. The next prime is 101199041. The reversal of 101199033 is 330991101.

It can be written as a sum of positive squares in 8 ways, for example, as 1937664 + 99261369 = 1392^2 + 9963^2 .

It is not a de Polignac number, because 101199033 - 2¹ = 101199031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101198988 and 101199006.

It is not an unprimeable number, because it can be changed into a prime (101199031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419793 + ... + 420033.

Almost surely, 2^101199033 is an apocalyptic number.

101199033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101199033 is a deficient number, since it is larger than the sum of its proper divisors (62820823).

101199033 is a wasteful number, since it uses less digits than its factorization.

101199033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 101199033 is about 10059.7730093676. The cubic root of 101199033 is about 466.0066571774.

The spelling of 101199033 in words is "one hundred one million, one hundred ninety-nine thousand, thirty-three".