100101209921 has 8 divisors (see below), whose sum is σ = 101080746624. Its totient is φ = 99121821120.

The previous prime is 100101209909. The next prime is 100101209947. The reversal of 100101209921 is 129902101001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100101209921 - 2¹⁴ = 100101193537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101209951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1736756 + ... + 1793466.

It is an arithmetic number, because the mean of its divisors is an integer number (12635093328).

Almost surely, 2^100101209921 is an apocalyptic number.

It is an amenable number.

100101209921 is a deficient number, since it is larger than the sum of its proper divisors (979536703).

100101209921 is a wasteful number, since it uses less digits than its factorization.

100101209921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73951.

The product of its (nonzero) digits is 324, while the sum is 26.

The spelling of 100101209921 in words is "one hundred billion, one hundred one million, two hundred nine thousand, nine hundred twenty-one".