1011023100 has 144 divisors (see below), whose sum is σ = 3329891040. Its totient is φ = 263001600.

The previous prime is 1011023093. The next prime is 1011023129. The reversal of 1011023100 is 13201101.

It is a super-2 number, since 2×1011023100² = 2044335417467220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106134 + ... + 115266.

Almost surely, 2^1011023100 is an apocalyptic number.

1011023100 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 1011023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664945520).

1011023100 is an abundant number, since it is smaller than the sum of its proper divisors (2318867940).

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

1011023100 is a wasteful number, since it uses less digits than its factorization.

1011023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9197 (or 9184 counting only the distinct ones).

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

The square root of 1011023100 is about 31796.5894397497. The cubic root of 1011023100 is about 1003.6609477727.

Adding to 1011023100 its reverse (13201101), we get a palindrome (1024224201).

It can be divided in two parts, 101 and 1023100, that added together give a palindrome (1023201).

The spelling of 1011023100 in words is "one billion, eleven million, twenty-three thousand, one hundred".