100430214100 has 72 divisors (see below), whose sum is σ = 222668248320. Its totient is φ = 39303588480.

The previous prime is 100430214043. The next prime is 100430214103. The reversal of 100430214100 is 1412034001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100430214103) 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, 1876309 + ... + 1929091.

It is an arithmetic number, because the mean of its divisors is an integer number (3092614560).

Almost surely, 2^100430214100 is an apocalyptic number.

100430214100 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 100430214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111334124160).

100430214100 is an abundant number, since it is smaller than the sum of its proper divisors (122238034220).

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

100430214100 is a wasteful number, since it uses less digits than its factorization.

100430214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53209 (or 53202 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100430214100 its reverse (1412034001), we get a palindrome (101842248101).

The spelling of 100430214100 in words is "one hundred billion, four hundred thirty million, two hundred fourteen thousand, one hundred".