10100442000 has 320 divisors, whose sum is σ = 36360529920. Its totient is φ = 2390976000.

The previous prime is 10100441993. The next prime is 10100442031. The reversal of 10100442000 is 24400101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2836221 + ... + 2839779.

It is an arithmetic number, because the mean of its divisors is an integer number (113626656).

Almost surely, 2^10100442000 is an apocalyptic number.

10100442000 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 10100442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18180264960).

10100442000 is an abundant number, since it is smaller than the sum of its proper divisors (26260087920).

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

10100442000 is a wasteful number, since it uses less digits than its factorization.

10100442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639 (or 3623 counting only the distinct ones).

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

Adding to 10100442000 its reverse (24400101), we get a palindrome (10124842101).

The spelling of 10100442000 in words is "ten billion, one hundred million, four hundred forty-two thousand".