101404121400 has 192 divisors, whose sum is σ = 350276911200. Its totient is φ = 26963988480.

The previous prime is 101404121387. The next prime is 101404121407. The reversal of 101404121400 is 4121404101.

101404121400 is a `hidden beast` number, since 1 + 0 + 140 + 4 + 121 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101404121407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1879602 + ... + 1932798.

Almost surely, 2^101404121400 is an apocalyptic number.

101404121400 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 101404121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175138455600).

101404121400 is an abundant number, since it is smaller than the sum of its proper divisors (248872789800).

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

101404121400 is a wasteful number, since it uses less digits than its factorization.

101404121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53575 (or 53560 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101404121400 its reverse (4121404101), we get a palindrome (105525525501).

The spelling of 101404121400 in words is "one hundred one billion, four hundred four million, one hundred twenty-one thousand, four hundred".