100010010021 has 16 divisors (see below), whose sum is σ = 136567324608. Its totient is φ = 65079705600.

The previous prime is 100010009993. The next prime is 100010010031. The reversal of 100010010021 is 120010010001.

It is not a de Polignac number, because 100010010021 - 2⁵ = 100010009989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100010009991 and 100010010009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010010031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2061916 + ... + 2109861.

It is an arithmetic number, because the mean of its divisors is an integer number (8535457788).

Almost surely, 2^100010010021 is an apocalyptic number.

It is an amenable number.

100010010021 is a deficient number, since it is larger than the sum of its proper divisors (36557314587).

100010010021 is a wasteful number, since it uses less digits than its factorization.

100010010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171972.

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

Adding to 100010010021 its reverse (120010010001), we get a palindrome (220020020022).

The spelling of 100010010021 in words is "one hundred billion, ten million, ten thousand, twenty-one".