100101033 has 12 divisors (see below), whose sum is σ = 147953520. Its totient is φ = 65181816.

The previous prime is 100101013. The next prime is 100101041. The reversal of 100101033 is 330101001.

It is not a de Polignac number, because 100101033 - 2¹⁸ = 99838889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100101013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128943 + ... + 129716.

It is an arithmetic number, because the mean of its divisors is an integer number (12329460).

Almost surely, 2^100101033 is an apocalyptic number.

It is an amenable number.

100101033 is a deficient number, since it is larger than the sum of its proper divisors (47852487).

100101033 is a wasteful number, since it uses less digits than its factorization.

100101033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258708 (or 258705 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 100101033 is about 10005.0503746858. The cubic root of 100101033 is about 464.3151486281.

Adding to 100101033 its reverse (330101001), we get a palindrome (430202034).

The spelling of 100101033 in words is "one hundred million, one hundred one thousand, thirty-three".