101442102400324 has 48 divisors (see below), whose sum is σ = 208378350742912. Its totient is φ = 42297991437312.

The previous prime is 101442102400297. The next prime is 101442102400333. The reversal of 101442102400324 is 423004201244101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 101442102400292 and 101442102400301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17559604 + ... + 22610260.

Almost surely, 2^{101442102400324} is an apocalyptic number.

101442102400324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101442102400324 is an abundant number, since it is smaller than the sum of its proper divisors (106936248342588).

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

101442102400324 is a wasteful number, since it uses less digits than its factorization.

101442102400324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070092 (or 5070090 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 101442102400324 its reverse (423004201244101), we get a palindrome (524446303644425).

The spelling of 101442102400324 in words is "one hundred one trillion, four hundred forty-two billion, one hundred two million, four hundred thousand, three hundred twenty-four".