101432324100 has 144 divisors (see below), whose sum is σ = 311820667200. Its totient is φ = 25457154560.

The previous prime is 101432324099. The next prime is 101432324101. The reversal of 101432324100 is 1423234101.

It is an interprime number because it is at equal distance from previous prime (101432324099) and next prime (101432324101).

It is not an unprimeable number, because it can be changed into a prime (101432324101) 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, 1439491 + ... + 1508309.

It is an arithmetic number, because the mean of its divisors is an integer number (2165421300).

Almost surely, 2^101432324100 is an apocalyptic number.

101432324100 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 101432324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155910333600).

101432324100 is an abundant number, since it is smaller than the sum of its proper divisors (210388343100).

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

101432324100 is a wasteful number, since it uses less digits than its factorization.

101432324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68887 (or 68846 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101432324100 its reverse (1423234101), we get a palindrome (102855558201).

The spelling of 101432324100 in words is "one hundred one billion, four hundred thirty-two million, three hundred twenty-four thousand, one hundred".