100420214232 has 128 divisors (see below), whose sum is σ = 279962323200. Its totient is φ = 29803479552.

The previous prime is 100420214177. The next prime is 100420214269. The reversal of 100420214232 is 232412024001.

It is a junction number, because it is equal to n+sod(n) for n = 100420214199 and 100420214208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10155963 + ... + 10165845.

It is an arithmetic number, because the mean of its divisors is an integer number (2187205650).

Almost surely, 2^100420214232 is an apocalyptic number.

100420214232 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 100420214232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139981161600).

100420214232 is an abundant number, since it is smaller than the sum of its proper divisors (179542108968).

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

100420214232 is a wasteful number, since it uses less digits than its factorization.

100420214232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11057 (or 11053 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 100420214232 its reverse (232412024001), we get a palindrome (332832238233).

The spelling of 100420214232 in words is "one hundred billion, four hundred twenty million, two hundred fourteen thousand, two hundred thirty-two".