100110000221 has 48 divisors (see below), whose sum is σ = 129483826560. Its totient is φ = 76522320000.

The previous prime is 100110000209. The next prime is 100110000233. The reversal of 100110000221 is 122000011001.

It is an interprime number because it is at equal distance from previous prime (100110000209) and next prime (100110000233).

It is a de Polignac number, because none of the positive numbers 2^k-100110000221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100110000199 and 100110000208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110000241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5925416 + ... + 5942286.

It is an arithmetic number, because the mean of its divisors is an integer number (2697579720).

Almost surely, 2^100110000221 is an apocalyptic number.

100110000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100110000221 is a deficient number, since it is larger than the sum of its proper divisors (29373826339).

100110000221 is a wasteful number, since it uses less digits than its factorization.

100110000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17106 (or 17099 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100110000221 its reverse (122000011001), we get a palindrome (222110011222).

The spelling of 100110000221 in words is "one hundred billion, one hundred ten million, two hundred twenty-one", and thus it is an aban number.