100032021 has 6 divisors (see below), whose sum is σ = 144490710. Its totient is φ = 66688008.

The previous prime is 100032019. The next prime is 100032059. The reversal of 100032021 is 120230001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 72846225 + 27185796 = 8535^2 + 5214^2 .

It is not a de Polignac number, because 100032021 - 2¹ = 100032019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11114669 = 100032021 / (1 + 0 + 0 + 0 + 3 + 2 + 0 + 2 + 1).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100031994 and 100032012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100032011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5557326 + ... + 5557343.

It is an arithmetic number, because the mean of its divisors is an integer number (24081785).

Almost surely, 2^100032021 is an apocalyptic number.

It is an amenable number.

100032021 is a deficient number, since it is larger than the sum of its proper divisors (44458689).

100032021 is a wasteful number, since it uses less digits than its factorization.

100032021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11114675 (or 11114672 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100032021 is about 10001.6009218525. The cubic root of 100032021 is about 464.2084208462.

Adding to 100032021 its reverse (120230001), we get a palindrome (220262022).

The spelling of 100032021 in words is "one hundred million, thirty-two thousand, twenty-one".