101144230400 has 60 divisors (see below), whose sum is σ = 250592764422. Its totient is φ = 40457687040.

The previous prime is 101144230391. The next prime is 101144230423. The reversal of 101144230400 is 4032441101.

It can be written as a sum of positive squares in 3 ways, for example, as 52342118656 + 48802111744 = 228784^2 + 220912^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3938147 + ... + 3963746.

Almost surely, 2^101144230400 is an apocalyptic number.

101144230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101144230400 is an abundant number, since it is smaller than the sum of its proper divisors (149448534022).

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

101144230400 is an frugal number, since it uses more digits than its factorization.

101144230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7901921 (or 7901900 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101144230400 its reverse (4032441101), we get a palindrome (105176671501).

The spelling of 101144230400 in words is "one hundred one billion, one hundred forty-four million, two hundred thirty thousand, four hundred".