100112220221 has 32 divisors (see below), whose sum is σ = 114877647360. Its totient is φ = 86543576064.

The previous prime is 100112220211. The next prime is 100112220239. The reversal of 100112220221 is 122022211001.

It is a cyclic number.

It is not a de Polignac number, because 100112220221 - 2¹⁴ = 100112203837 is a prime.

It is a super-4 number, since 4×100112220221⁴ (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100112220196 and 100112220205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112220211) 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 31 ways as a sum of consecutive naturals, for example, 2973560 + ... + 3007038.

It is an arithmetic number, because the mean of its divisors is an integer number (3589926480).

Almost surely, 2^100112220221 is an apocalyptic number.

It is an amenable number.

100112220221 is a deficient number, since it is larger than the sum of its proper divisors (14765427139).

100112220221 is a wasteful number, since it uses less digits than its factorization.

100112220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33725.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100112220221 its reverse (122022211001), we get a palindrome (222134431222).

The spelling of 100112220221 in words is "one hundred billion, one hundred twelve million, two hundred twenty thousand, two hundred twenty-one".