100100221032 has 128 divisors (see below), whose sum is σ = 305505043200. Its totient is φ = 26679410688.

The previous prime is 100100221009. The next prime is 100100221033. The reversal of 100100221032 is 230122001001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100100220999 and 100100221017.

It is not an unprimeable number, because it can be changed into a prime (100100221033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167644 + ... + 477812.

It is an arithmetic number, because the mean of its divisors is an integer number (2386758150).

Almost surely, 2^100100221032 is an apocalyptic number.

100100221032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100100221032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152752521600).

100100221032 is an abundant number, since it is smaller than the sum of its proper divisors (205404822168).

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

100100221032 is a wasteful number, since it uses less digits than its factorization.

100100221032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310315 (or 310311 counting only the distinct ones).

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

Adding to 100100221032 its reverse (230122001001), we get a palindrome (330222222033).

The spelling of 100100221032 in words is "one hundred billion, one hundred million, two hundred twenty-one thousand, thirty-two".