1011330100 has 216 divisors, whose sum is σ = 2618269920. Its totient is φ = 337708800.

The previous prime is 1011330097. The next prime is 1011330121. The reversal of 1011330100 is 10331101.

1011330100 = T₇₅ + T₇₆ + ... + T₁₈₂₃.

1011330100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12184659 + ... + 12184741.

It is an arithmetic number, because the mean of its divisors is an integer number (12121620).

Almost surely, 2^1011330100 is an apocalyptic number.

1011330100 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 1011330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309134960).

1011330100 is an abundant number, since it is smaller than the sum of its proper divisors (1606939820).

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

1011330100 is a wasteful number, since it uses less digits than its factorization.

1011330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1011330100 is about 31801.4166351123. The cubic root of 1011330100 is about 1003.7625256459.

Adding to 1011330100 its reverse (10331101), we get a palindrome (1021661201).

The spelling of 1011330100 in words is "one billion, eleven million, three hundred thirty thousand, one hundred".