10100322000 has 160 divisors (see below), whose sum is σ = 36181791360. Its totient is φ = 2693404800.

The previous prime is 10100321999. The next prime is 10100322017. The reversal of 10100322000 is 22300101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39522 + ... + 147521.

It is an arithmetic number, because the mean of its divisors is an integer number (226136196).

Almost surely, 2^10100322000 is an apocalyptic number.

10100322000 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 10100322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18090895680).

10100322000 is an abundant number, since it is smaller than the sum of its proper divisors (26081469360).

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

10100322000 is a wasteful number, since it uses less digits than its factorization.

10100322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187075 (or 187053 counting only the distinct ones).

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

Adding to 10100322000 its reverse (22300101), we get a palindrome (10122622101).

The spelling of 10100322000 in words is "ten billion, one hundred million, three hundred twenty-two thousand".