1012100042400 has 288 divisors, whose sum is σ = 3385431318528. Its totient is φ = 262443110400.

The previous prime is 1012100042381. The next prime is 1012100042507. The reversal of 1012100042400 is 42400012101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1012100042400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282471009 + ... + 282474591.

It is an arithmetic number, because the mean of its divisors is an integer number (11754969856).

Almost surely, 2^{1012100042400} is an apocalyptic number.

1012100042400 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 1012100042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692715659264).

1012100042400 is an abundant number, since it is smaller than the sum of its proper divisors (2373331276128).

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

1012100042400 is a wasteful number, since it uses less digits than its factorization.

1012100042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6824 (or 6811 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1012100042400 its reverse (42400012101), we get a palindrome (1054500054501).

The spelling of 1012100042400 in words is "one trillion, twelve billion, one hundred million, forty-two thousand, four hundred".