100033122 has 32 divisors (see below), whose sum is σ = 236534400. Its totient is φ = 27595008.

The previous prime is 100033111. The next prime is 100033133. The reversal of 100033122 is 221330001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100033111) and next prime (100033133).

It is a junction number, because it is equal to n+sod(n) for n = 100033098 and 100033107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39847 + ... + 42282.

It is an arithmetic number, because the mean of its divisors is an integer number (7391700).

Almost surely, 2^100033122 is an apocalyptic number.

100033122 is an abundant number, since it is smaller than the sum of its proper divisors (136501278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100033122 is a wasteful number, since it uses less digits than its factorization.

100033122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82170.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 100033122 is about 10001.6559628893. The cubic root of 100033122 is about 464.2101239395.

Adding to 100033122 its reverse (221330001), we get a palindrome (321363123).

The spelling of 100033122 in words is "one hundred million, thirty-three thousand, one hundred twenty-two".