100012100221 has 16 divisors (see below), whose sum is σ = 109803371328. Its totient is φ = 90337680000.

The previous prime is 100012100213. The next prime is 100012100233. The reversal of 100012100221 is 122001210001.

It is a cyclic number.

It is not a de Polignac number, because 100012100221 - 2³ = 100012100213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100012100198 and 100012100207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012100261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11106721 + ... + 11115721.

It is an arithmetic number, because the mean of its divisors is an integer number (6862710708).

Almost surely, 2^100012100221 is an apocalyptic number.

100012100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100012100221 is a deficient number, since it is larger than the sum of its proper divisors (9791271107).

100012100221 is a wasteful number, since it uses less digits than its factorization.

100012100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15372.

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

Adding to 100012100221 its reverse (122001210001), we get a palindrome (222013310222).

The spelling of 100012100221 in words is "one hundred billion, twelve million, one hundred thousand, two hundred twenty-one".