100100210021 has 8 divisors (see below), whose sum is σ = 116734939200. Its totient is φ = 85800179724.

The previous prime is 100100210003. The next prime is 100100210027. The reversal of 100100210021 is 120012001001.

It is not a de Polignac number, because 100100210021 - 2¹⁴ = 100100193637 is a prime.

It is a Duffinian number.

100100210021 is a modest number, since divided by 210021 gives 1001 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 100100209990 and 100100210008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100210027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145918331 + ... + 145919016.

It is an arithmetic number, because the mean of its divisors is an integer number (14591867400).

Almost surely, 2^100100210021 is an apocalyptic number.

It is an amenable number.

100100210021 is a deficient number, since it is larger than the sum of its proper divisors (16634729179).

100100210021 is an frugal number, since it uses more digits than its factorization.

100100210021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291837368 (or 291837354 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100100210021 its reverse (120012001001), we get a palindrome (220112211022).

The spelling of 100100210021 in words is "one hundred billion, one hundred million, two hundred ten thousand, twenty-one".