10442102000 has 320 divisors, whose sum is σ = 29014142976. Its totient is φ = 3600000000.

The previous prime is 10442101991. The next prime is 10442102003. The reversal of 10442102000 is 20124401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442102003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41601875 + ... + 41602125.

Almost surely, 2^10442102000 is an apocalyptic number.

10442102000 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 10442102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14507071488).

10442102000 is an abundant number, since it is smaller than the sum of its proper divisors (18572040976).

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

10442102000 is a wasteful number, since it uses less digits than its factorization.

10442102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10442102000 its reverse (20124401), we get a palindrome (10462226401).

The spelling of 10442102000 in words is "ten billion, four hundred forty-two million, one hundred two thousand".