1001121030 has 192 divisors, whose sum is σ = 3222955008. Its totient is φ = 209952000.

The previous prime is 1001120999. The next prime is 1001121031. The reversal of 1001121030 is 301211001.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001121031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2055447 + ... + 2055933.

It is an arithmetic number, because the mean of its divisors is an integer number (16786224).

Almost surely, 2^1001121030 is an apocalyptic number.

1001121030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001121030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611477504).

1001121030 is an abundant number, since it is smaller than the sum of its proper divisors (2221833978).

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

1001121030 is a wasteful number, since it uses less digits than its factorization.

1001121030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 768 counting only the distinct ones).

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

The square root of 1001121030 is about 31640.4966775176. The cubic root of 1001121030 is about 1000.3735371193.

Adding to 1001121030 its reverse (301211001), we get a palindrome (1302332031).

The spelling of 1001121030 in words is "one billion, one million, one hundred twenty-one thousand, thirty".