101404330400000 has 216 divisors, whose sum is σ = 253667797971840. Its totient is φ = 40454588160000.

The previous prime is 101404330399891. The next prime is 101404330400041. The reversal of 101404330400000 is 4033404101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 303032777 + ... + 303367223.

Almost surely, 2^{101404330400000} is an apocalyptic number.

101404330400000 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 101404330400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126833898985920).

101404330400000 is an abundant number, since it is smaller than the sum of its proper divisors (152263467571840).

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

101404330400000 is an frugal number, since it uses more digits than its factorization.

101404330400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334867 (or 334833 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 101404330400000 its reverse (4033404101), we get a palindrome (101408363804101).

The spelling of 101404330400000 in words is "one hundred one trillion, four hundred four billion, three hundred thirty million, four hundred thousand".