1010322000 has 360 divisors, whose sum is σ = 3715121592. Its totient is φ = 255744000.

The previous prime is 1010321999. The next prime is 1010322031. The reversal of 1010322000 is 2230101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 545315904 + 465006096 = 23352^2 + 21564^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 24641980 + ... + 24642020.

Almost surely, 2^1010322000 is an apocalyptic number.

1010322000 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 1010322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857560796).

1010322000 is an abundant number, since it is smaller than the sum of its proper divisors (2704799592).

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

1010322000 is a wasteful number, since it uses less digits than its factorization.

1010322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 88 counting only the distinct ones).

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

The square root of 1010322000 is about 31785.5627604735. The cubic root of 1010322000 is about 1003.4288959013.

Adding to 1010322000 its reverse (2230101), we get a palindrome (1012552101).

The spelling of 1010322000 in words is "one billion, ten million, three hundred twenty-two thousand".