1020100424400 has 300 divisors, whose sum is σ = 3707410379200. Its totient is φ = 268582728960.

The previous prime is 1020100424383. The next prime is 1020100424443. The reversal of 1020100424400 is 44240010201.

1020100424400 is a `hidden beast` number, since 1 + 0 + 201 + 0 + 0 + 424 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×1020100424400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2360331 + ... + 2758869.

Almost surely, 2^{1020100424400} is an apocalyptic number.

1020100424400 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 1020100424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853705189600).

1020100424400 is an abundant number, since it is smaller than the sum of its proper divisors (2687309954800).

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

1020100424400 is a wasteful number, since it uses less digits than its factorization.

1020100424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398648 (or 398628 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1020100424400 its reverse (44240010201), we get a palindrome (1064340434601).

The spelling of 1020100424400 in words is "one trillion, twenty billion, one hundred million, four hundred twenty-four thousand, four hundred".