100100212021 has 16 divisors (see below), whose sum is σ = 104940000000. Its totient is φ = 95360400576.

The previous prime is 100100211997. The next prime is 100100212027. The reversal of 100100212021 is 120212001001.

It is a cyclic number.

It is not a de Polignac number, because 100100212021 - 2³¹ = 97952728373 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100211989 and 100100212007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100212027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689230 + ... + 821728.

It is an arithmetic number, because the mean of its divisors is an integer number (6558750000).

Almost surely, 2^100100212021 is an apocalyptic number.

It is an amenable number.

100100212021 is a deficient number, since it is larger than the sum of its proper divisors (4839787979).

100100212021 is a wasteful number, since it uses less digits than its factorization.

100100212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132876.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100100212021 its reverse (120212001001), we get a palindrome (220312213022).

The spelling of 100100212021 in words is "one hundred billion, one hundred million, two hundred twelve thousand, twenty-one".