100032103021 has 16 divisors (see below), whose sum is σ = 102425990080. Its totient is φ = 97667856000.

The previous prime is 100032102979. The next prime is 100032103037. The reversal of 100032103021 is 120301230001.

It is a cyclic number.

It is not a de Polignac number, because 100032103021 - 2⁹ = 100032102509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100032102992 and 100032103010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100032103921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4290646 + ... + 4313896.

It is an arithmetic number, because the mean of its divisors is an integer number (6401624380).

Almost surely, 2^100032103021 is an apocalyptic number.

It is an amenable number.

100032103021 is a deficient number, since it is larger than the sum of its proper divisors (2393887059).

100032103021 is a wasteful number, since it uses less digits than its factorization.

100032103021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23884.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100032103021 its reverse (120301230001), we get a palindrome (220333333022).

The spelling of 100032103021 in words is "one hundred billion, thirty-two million, one hundred three thousand, twenty-one".