100010100021 has 32 divisors (see below), whose sum is σ = 145426176000. Its totient is φ = 60765838848.

The previous prime is 100010100011. The next prime is 100010100041. The reversal of 100010100021 is 120001010001.

It is not a de Polignac number, because 100010100021 - 2¹⁰ = 100010098997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100010099982 and 100010100009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010100011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2440620 + ... + 2481258.

It is an arithmetic number, because the mean of its divisors is an integer number (4544568000).

Almost surely, 2^100010100021 is an apocalyptic number.

It is an amenable number.

100010100021 is a deficient number, since it is larger than the sum of its proper divisors (45416075979).

100010100021 is a wasteful number, since it uses less digits than its factorization.

100010100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41453.

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

Adding to 100010100021 its reverse (120001010001), we get a palindrome (220011110022).

The spelling of 100010100021 in words is "one hundred billion, ten million, one hundred thousand, twenty-one".