101424000000 has 308 divisors, whose sum is σ = 338070516392. Its totient is φ = 27033600000.

The previous prime is 101423999983. The next prime is 101424000001. The reversal of 101424000000 is 424101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101424000000.

It is not an unprimeable number, because it can be changed into a prime (101424000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 47998944 + ... + 48001056.

Almost surely, 2^101424000000 is an apocalyptic number.

101424000000 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 101424000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169035258196).

101424000000 is an abundant number, since it is smaller than the sum of its proper divisors (236646516392).

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

101424000000 is an frugal number, since it uses more digits than its factorization.

101424000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 101424000000 its reverse (424101), we get a palindrome (101424424101).

It can be divided in two parts, 1014 and 24000000, that multiplied together give a square (24336000000 = 156000²).

The spelling of 101424000000 in words is "one hundred one billion, four hundred twenty-four million", and thus it is an aban number.