100020332232100 has 144 divisors (see below), whose sum is σ = 250348086419200. Its totient is φ = 33975091422720.

The previous prime is 100020332232083. The next prime is 100020332232101. The reversal of 100020332232100 is 1232233020001.

It is not an unprimeable number, because it can be changed into a prime (100020332232101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 978343786 + ... + 978446014.

Almost surely, 2^{100020332232100} is an apocalyptic number.

100020332232100 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 100020332232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125174043209600).

100020332232100 is an abundant number, since it is smaller than the sum of its proper divisors (150327754187100).

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

100020332232100 is a wasteful number, since it uses less digits than its factorization.

100020332232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115182 (or 115175 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 100020332232100 its reverse (1232233020001), we get a palindrome (101252565252101).

The spelling of 100020332232100 in words is "one hundred trillion, twenty billion, three hundred thirty-two million, two hundred thirty-two thousand, one hundred".