101033109 has 16 divisors (see below), whose sum is σ = 149846400. Its totient is φ = 67279968.

The previous prime is 101033099. The next prime is 101033131. The reversal of 101033109 is 901330101.

It is not a de Polignac number, because 101033109 - 2⁵ = 101033077 is a prime.

It is a super-2 number, since 2×101033109² = 20415378228411762, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101033091 and 101033100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101033609) 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 15 ways as a sum of consecutive naturals, for example, 33352 + ... + 36254.

It is an arithmetic number, because the mean of its divisors is an integer number (9365400).

Almost surely, 2^101033109 is an apocalyptic number.

It is an amenable number.

101033109 is a deficient number, since it is larger than the sum of its proper divisors (48813291).

101033109 is a wasteful number, since it uses less digits than its factorization.

101033109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 101033109 is about 10051.5227204638. The cubic root of 101033109 is about 465.7518326558.

The spelling of 101033109 in words is "one hundred one million, thirty-three thousand, one hundred nine".