100011021 has 16 divisors (see below), whose sum is σ = 145758528. Its totient is φ = 60492800.

The previous prime is 100010993. The next prime is 100011029. The reversal of 100011021 is 120110001.

It is a cyclic number.

It is not a de Polignac number, because 100011021 - 2⁶ = 100010957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15661 + ... + 21101.

It is an arithmetic number, because the mean of its divisors is an integer number (9109908).

Almost surely, 2^100011021 is an apocalyptic number.

100011021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100011021 is a deficient number, since it is larger than the sum of its proper divisors (45747507).

100011021 is a wasteful number, since it uses less digits than its factorization.

100011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6012.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 100011021 is about 10000.5510348180. The cubic root of 100011021 is about 464.1759343851.

Adding to 100011021 its reverse (120110001), we get a palindrome (220121022).

It can be divided in two parts, 1000 and 11021, that added together give a palindrome (12021).

The spelling of 100011021 in words is "one hundred million, eleven thousand, twenty-one".