100401133434 has 64 divisors (see below), whose sum is σ = 234407347200. Its totient is φ = 28075448448.

The previous prime is 100401133423. The next prime is 100401133499. The reversal of 100401133434 is 434331104001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473262 + ... + 651750.

It is an arithmetic number, because the mean of its divisors is an integer number (3662614800).

Almost surely, 2^100401133434 is an apocalyptic number.

100401133434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100401133434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117203673600).

100401133434 is an abundant number, since it is smaller than the sum of its proper divisors (134006213766).

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

100401133434 is a wasteful number, since it uses less digits than its factorization.

100401133434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178787.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100401133434 its reverse (434331104001), we get a palindrome (534732237435).

The spelling of 100401133434 in words is "one hundred billion, four hundred one million, one hundred thirty-three thousand, four hundred thirty-four".