101101432400 has 120 divisors (see below), whose sum is σ = 249327836640. Its totient is φ = 39382612480.

The previous prime is 101101432349. The next prime is 101101432447. The reversal of 101101432400 is 4234101101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2505182 + ... + 2545218.

It is an arithmetic number, because the mean of its divisors is an integer number (2077731972).

Almost surely, 2^101101432400 is an apocalyptic number.

101101432400 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 101101432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124663918320).

101101432400 is an abundant number, since it is smaller than the sum of its proper divisors (148226404240).

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

101101432400 is a wasteful number, since it uses less digits than its factorization.

101101432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40221 (or 40210 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 101101432400 its reverse (4234101101), we get a palindrome (105335533501).

The spelling of 101101432400 in words is "one hundred one billion, one hundred one million, four hundred thirty-two thousand, four hundred".