101342230400 has 288 divisors, whose sum is σ = 271472055480. Its totient is φ = 37349683200.

The previous prime is 101342230399. The next prime is 101342230403. The reversal of 101342230400 is 4032243101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101342230403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42741215 + ... + 42743585.

Almost surely, 2^101342230400 is an apocalyptic number.

101342230400 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 101342230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135736027740).

101342230400 is an abundant number, since it is smaller than the sum of its proper divisors (170129825080).

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

101342230400 is a wasteful number, since it uses less digits than its factorization.

101342230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2434 counting only the distinct ones).

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

Adding to 101342230400 its reverse (4032243101), we get a palindrome (105374473501).

The spelling of 101342230400 in words is "one hundred one billion, three hundred forty-two million, two hundred thirty thousand, four hundred".