101130024000 has 224 divisors, whose sum is σ = 334264260096. Its totient is φ = 26941132800.

The previous prime is 101130023983. The next prime is 101130024091. The reversal of 101130024000 is 420031101.

It is a happy number.

It is a super-3 number, since 3×101130024000³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39766729 + ... + 39769271.

Almost surely, 2^101130024000 is an apocalyptic number.

101130024000 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 101130024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167132130048).

101130024000 is an abundant number, since it is smaller than the sum of its proper divisors (233134236096).

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

101130024000 is a wasteful number, since it uses less digits than its factorization.

101130024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101130024000 its reverse (420031101), we get a palindrome (101550055101).

The spelling of 101130024000 in words is "one hundred one billion, one hundred thirty million, twenty-four thousand".