101143124400 has 120 divisors (see below), whose sum is σ = 327635882640. Its totient is φ = 26668421120.

The previous prime is 101143124377. The next prime is 101143124413. The reversal of 101143124400 is 4421341101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×101143124400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366717 + ... + 580316.

It is an arithmetic number, because the mean of its divisors is an integer number (2730299022).

Almost surely, 2^101143124400 is an apocalyptic number.

101143124400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101143124400 is an abundant number, since it is smaller than the sum of its proper divisors (226492758240).

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

101143124400 is a wasteful number, since it uses less digits than its factorization.

101143124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947143 (or 947132 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101143124400 its reverse (4421341101), we get a palindrome (105564465501).

The spelling of 101143124400 in words is "one hundred one billion, one hundred forty-three million, one hundred twenty-four thousand, four hundred".