100132223100 has 288 divisors, whose sum is σ = 366214227456. Its totient is φ = 20555596800.

The previous prime is 100132223077. The next prime is 100132223101. The reversal of 100132223100 is 1322231001.

It is a super-2 number, since 2×100132223100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100132223100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100132223101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 960535 + ... + 1059665.

Almost surely, 2^100132223100 is an apocalyptic number.

100132223100 is a gapful number since it is divisible by the number (10) 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 100132223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183107113728).

100132223100 is an abundant number, since it is smaller than the sum of its proper divisors (266082004356).

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

100132223100 is a wasteful number, since it uses less digits than its factorization.

100132223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99205 (or 99198 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100132223100 its reverse (1322231001), we get a palindrome (101454454101).

The spelling of 100132223100 in words is "one hundred billion, one hundred thirty-two million, two hundred twenty-three thousand, one hundred".