101204400 has 360 divisors, whose sum is σ = 386506512. Its totient is φ = 22528000.

The previous prime is 101204399. The next prime is 101204407. The reversal of 101204400 is 4402101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101204407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2468380 + ... + 2468420.

Almost surely, 2^101204400 is an apocalyptic number.

101204400 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 101204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193253256).

101204400 is an abundant number, since it is smaller than the sum of its proper divisors (285302112).

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

101204400 is a wasteful number, since it uses less digits than its factorization.

101204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 101204400 is about 10060.0397613528. The cubic root of 101204400 is about 466.0148951135.

Adding to 101204400 its reverse (4402101), we get a palindrome (105606501).

The spelling of 101204400 in words is "one hundred one million, two hundred four thousand, four hundred".