1001424034100 has 144 divisors (see below), whose sum is σ = 2564545191936. Its totient is φ = 332153136000.

The previous prime is 1001424034099. The next prime is 1001424034111. The reversal of 1001424034100 is 14304241001.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 80088449 + ... + 80100951.

Almost surely, 2^{1001424034100} is an apocalyptic number.

1001424034100 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 1001424034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282272595968).

1001424034100 is an abundant number, since it is smaller than the sum of its proper divisors (1563121157836).

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

1001424034100 is a wasteful number, since it uses less digits than its factorization.

1001424034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16246 (or 16239 counting only the distinct ones).

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

Adding to 1001424034100 its reverse (14304241001), we get a palindrome (1015728275101).

The spelling of 1001424034100 in words is "one trillion, one billion, four hundred twenty-four million, thirty-four thousand, one hundred".