1010321001000 has 384 divisors, whose sum is σ = 3525210992160. Its totient is φ = 260789760000.

The previous prime is 1010321000977. The next prime is 1010321001007. The reversal of 1010321001000 is 1001230101.

1010321001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 407868713316 + 602452287684 = 638646^2 + 776178^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1010321001007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65593300 + ... + 65608700.

Almost surely, 2^{1010321001000} is an apocalyptic number.

1010321001000 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 1010321001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762605496080).

1010321001000 is an abundant number, since it is smaller than the sum of its proper divisors (2514889991160).

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

1010321001000 is a wasteful number, since it uses less digits than its factorization.

1010321001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15662 (or 15645 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1010321001000 its reverse (1001230101), we get a palindrome (1011322231101).

The spelling of 1010321001000 in words is "one trillion, ten billion, three hundred twenty-one million, one thousand".