1024142101000 has 128 divisors (see below), whose sum is σ = 2575338105600. Its totient is φ = 379804339200.

The previous prime is 1024142100973. The next prime is 1024142101049. The reversal of 1024142101000 is 1012414201.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 689421 + ... + 1588579.

It is an arithmetic number, because the mean of its divisors is an integer number (20119828950).

Almost surely, 2^{1024142101000} is an apocalyptic number.

1024142101000 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 1024142101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287669052800).

1024142101000 is an abundant number, since it is smaller than the sum of its proper divisors (1551196004600).

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

1024142101000 is a wasteful number, since it uses less digits than its factorization.

1024142101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899264 (or 899250 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1024142101000 its reverse (1012414201), we get a palindrome (1025154515201).

The spelling of 1024142101000 in words is "one trillion, twenty-four billion, one hundred forty-two million, one hundred one thousand".