1031020100 has 72 divisors (see below), whose sum is σ = 2463384000. Its totient is φ = 371433600.

The previous prime is 1031020079. The next prime is 1031020127. The reversal of 1031020100 is 10201301.

1031020100 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-4 number, since 4×1031020100⁴ (a number of 37 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115601 + ... + 124199.

Almost surely, 2^1031020100 is an apocalyptic number.

1031020100 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 1031020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231692000).

1031020100 is an abundant number, since it is smaller than the sum of its proper divisors (1432363900).

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

1031020100 is a wasteful number, since it uses less digits than its factorization.

1031020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8733 (or 8726 counting only the distinct ones).

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

The square root of 1031020100 is about 32109.5017089957. The cubic root of 1031020100 is about 1010.2349223167.

Adding to 1031020100 its reverse (10201301), we get a palindrome (1041221401).

The spelling of 1031020100 in words is "one billion, thirty-one million, twenty thousand, one hundred".