101404214400 has 192 divisors, whose sum is σ = 334301058720. Its totient is φ = 27016765440.

The previous prime is 101404214399. The next prime is 101404214407. The reversal of 101404214400 is 4412404101.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (101404214407) 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, 12312684 + ... + 12320916.

Almost surely, 2^101404214400 is an apocalyptic number.

101404214400 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 101404214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167150529360).

101404214400 is an abundant number, since it is smaller than the sum of its proper divisors (232896844320).

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

101404214400 is a wasteful number, since it uses less digits than its factorization.

101404214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9543 (or 9526 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 101404214400 its reverse (4412404101), we get a palindrome (105816618501).

The spelling of 101404214400 in words is "one hundred one billion, four hundred four million, two hundred fourteen thousand, four hundred".