101404113200 has 120 divisors (see below), whose sum is σ = 264368193936. Its totient is φ = 37155456000.

The previous prime is 101404113179. The next prime is 101404113203. The reversal of 101404113200 is 2311404101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101404113203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606770 + ... + 755630.

Almost surely, 2^101404113200 is an apocalyptic number.

101404113200 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 101404113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132184096968).

101404113200 is an abundant number, since it is smaller than the sum of its proper divisors (162964080736).

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

101404113200 is a wasteful number, since it uses less digits than its factorization.

101404113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149023 (or 149012 counting only the distinct ones).

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

Adding to 101404113200 its reverse (2311404101), we get a palindrome (103715517301).

The spelling of 101404113200 in words is "one hundred one billion, four hundred four million, one hundred thirteen thousand, two hundred".