100001122221 has 384 divisors, whose sum is σ = 201914173440. Its totient is φ = 43110144000.

The previous prime is 100001122213. The next prime is 100001122229. The reversal of 100001122221 is 122221100001.

It is an interprime number because it is at equal distance from previous prime (100001122213) and next prime (100001122229).

It is not a de Polignac number, because 100001122221 - 2³ = 100001122213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100001122197 and 100001122206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001122229) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 990110071 + ... + 990110171.

It is an arithmetic number, because the mean of its divisors is an integer number (525818160).

Almost surely, 2^100001122221 is an apocalyptic number.

100001122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001122221 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

100001122221 is a wasteful number, since it uses less digits than its factorization.

100001122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100001122221 its reverse (122221100001), we get a palindrome (222222222222).

It can be divided in two parts, 100001 and 122221, that multiplied together give a palindrome (12222222221).

The spelling of 100001122221 in words is "one hundred billion, one million, one hundred twenty-two thousand, two hundred twenty-one".