101404094400 has 2016 divisors, whose sum is σ = 470504885760. Its totient is φ = 20961607680.

The previous prime is 101404094377. The next prime is 101404094423. The reversal of 101404094400 is 4490404101.

It is an interprime number because it is at equal distance from previous prime (101404094377) and next prime (101404094423).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×101404094400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1913284774 + ... + 1913284826.

It is an arithmetic number, because the mean of its divisors is an integer number (233385360).

Almost surely, 2^101404094400 is an apocalyptic number.

101404094400 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 101404094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235252442880).

101404094400 is an abundant number, since it is smaller than the sum of its proper divisors (369100791360).

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

101404094400 is a wasteful number, since it uses less digits than its factorization.

101404094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 101404094400 its reverse (4490404101), we get a palindrome (105894498501).

The spelling of 101404094400 in words is "one hundred one billion, four hundred four million, ninety-four thousand, four hundred".