1032101000 has 128 divisors (see below), whose sum is σ = 2775202560. Its totient is φ = 351936000.

The previous prime is 1032100987. The next prime is 1032101003. The reversal of 1032101000 is 1012301.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (1032101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1980740 + ... + 1981260.

It is an arithmetic number, because the mean of its divisors is an integer number (21681270).

Almost surely, 2^1032101000 is an apocalyptic number.

1032101000 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 1032101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387601280).

1032101000 is an abundant number, since it is smaller than the sum of its proper divisors (1743101560).

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

1032101000 is a wasteful number, since it uses less digits than its factorization.

1032101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1032101000 is about 32126.3287662939. The cubic root of 1032101000 is about 1010.5878354341.

Adding to 1032101000 its reverse (1012301), we get a palindrome (1033113301).

The spelling of 1032101000 in words is "one billion, thirty-two million, one hundred one thousand".