100300102221 has 32 divisors (see below), whose sum is σ = 155365941888. Its totient is φ = 56881418240.

The previous prime is 100300102139. The next prime is 100300102321. The reversal of 100300102221 is 122201003001.

It is a cyclic number.

It is not a de Polignac number, because 100300102221 - 2¹³ = 100300094029 is a prime.

It is a super-2 number, since 2×100300102221² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100300102197 and 100300102206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100300102321) 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, 419676 + ... + 613781.

It is an arithmetic number, because the mean of its divisors is an integer number (4855185684).

Almost surely, 2^100300102221 is an apocalyptic number.

100300102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100300102221 is a deficient number, since it is larger than the sum of its proper divisors (55065839667).

100300102221 is a wasteful number, since it uses less digits than its factorization.

100300102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033661.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100300102221 its reverse (122201003001), we get a palindrome (222501105222).

The spelling of 100300102221 in words is "one hundred billion, three hundred million, one hundred two thousand, two hundred twenty-one".