10032201000 has 256 divisors, whose sum is σ = 35591212800. Its totient is φ = 2612736000.

The previous prime is 10032200999. The next prime is 10032201029. The reversal of 10032201000 is 10223001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 63 ways as a sum of consecutive naturals, for example, 1156680 + ... + 1165320.

It is an arithmetic number, because the mean of its divisors is an integer number (139028175).

Almost surely, 2^10032201000 is an apocalyptic number.

10032201000 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 10032201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17795606400).

10032201000 is an abundant number, since it is smaller than the sum of its proper divisors (25559011800).

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

10032201000 is a wasteful number, since it uses less digits than its factorization.

10032201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8714 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10032201000 its reverse (10223001), we get a palindrome (10042424001).

The spelling of 10032201000 in words is "ten billion, thirty-two million, two hundred one thousand".