100221310434 has 48 divisors (see below), whose sum is σ = 246883720608. Its totient is φ = 26950267008.

The previous prime is 100221310433. The next prime is 100221310439. The reversal of 100221310434 is 434013122001.

It is a super-2 number, since 2×100221310434² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 100221310434.

It is not an unprimeable number, because it can be changed into a prime (100221310433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10021144 + ... + 10031139.

It is an arithmetic number, because the mean of its divisors is an integer number (5143410846).

Almost surely, 2^100221310434 is an apocalyptic number.

100221310434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100221310434 is an abundant number, since it is smaller than the sum of its proper divisors (146662410174).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100221310434 is a wasteful number, since it uses less digits than its factorization.

100221310434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20052319 (or 20052312 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 100221310434 its reverse (434013122001), we get a palindrome (534234432435).

The spelling of 100221310434 in words is "one hundred billion, two hundred twenty-one million, three hundred ten thousand, four hundred thirty-four".