100201542324 has 96 divisors (see below), whose sum is σ = 269188657920. Its totient is φ = 28735838208.

The previous prime is 100201542319. The next prime is 100201542349. The reversal of 100201542324 is 423245102001.

It is a junction number, because it is equal to n+sod(n) for n = 100201542294 and 100201542303.

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, 89742 + ... + 456570.

It is an arithmetic number, because the mean of its divisors is an integer number (2804048520).

Almost surely, 2^100201542324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100201542324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134594328960).

100201542324 is an abundant number, since it is smaller than the sum of its proper divisors (168987115596).

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

100201542324 is a wasteful number, since it uses less digits than its factorization.

100201542324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366969 (or 366967 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 100201542324 its reverse (423245102001), we get a palindrome (523446644325).

The spelling of 100201542324 in words is "one hundred billion, two hundred one million, five hundred forty-two thousand, three hundred twenty-four".