10021001130 has 256 divisors, whose sum is σ = 31538626560. Its totient is φ = 2216761344.

The previous prime is 10021001093. The next prime is 10021001149. The reversal of 10021001130 is 3110012001.

10021001130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10021001130² (a number of 21 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8615929 + ... + 8617091.

It is an arithmetic number, because the mean of its divisors is an integer number (123197760).

Almost surely, 2^10021001130 is an apocalyptic number.

10021001130 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 10021001130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15769313280).

10021001130 is an abundant number, since it is smaller than the sum of its proper divisors (21517625430).

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

10021001130 is a wasteful number, since it uses less digits than its factorization.

10021001130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1324 counting only the distinct ones).

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

Adding to 10021001130 its reverse (3110012001), we get a palindrome (13131013131).

The spelling of 10021001130 in words is "ten billion, twenty-one million, one thousand, one hundred thirty".