1011921100 has 72 divisors (see below), whose sum is σ = 2255011920. Its totient is φ = 394014720.

The previous prime is 1011921091. The next prime is 1011921151. The reversal of 1011921100 is 11291101.

It is a super-3 number, since 3×1011921100³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 595452 + ... + 597148.

It is an arithmetic number, because the mean of its divisors is an integer number (31319610).

Almost surely, 2^1011921100 is an apocalyptic number.

1011921100 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 1011921100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127505960).

1011921100 is an abundant number, since it is smaller than the sum of its proper divisors (1243090820).

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

1011921100 is a wasteful number, since it uses less digits than its factorization.

1011921100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 16.

The square root of 1011921100 is about 31810.7073168768. The cubic root of 1011921100 is about 1003.9580134609.

The spelling of 1011921100 in words is "one billion, eleven million, nine hundred twenty-one thousand, one hundred".