1011121100 has 144 divisors (see below), whose sum is σ = 2549836800. Its totient is φ = 344160000.

The previous prime is 1011121093. The next prime is 1011121103. The reversal of 1011121100 is 11211101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1011121103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2110661 + ... + 2111139.

It is an arithmetic number, because the mean of its divisors is an integer number (17707200).

Almost surely, 2^1011121100 is an apocalyptic number.

1011121100 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 1011121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274918400).

1011121100 is an abundant number, since it is smaller than the sum of its proper divisors (1538715700).

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

1011121100 is a wasteful number, since it uses less digits than its factorization.

1011121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 1011121100 is about 31798.1304481883. The cubic root of 1011121100 is about 1003.6933755168.

Adding to 1011121100 its reverse (11211101), we get a palindrome (1022332201).

Subtracting from 1011121100 its reverse (11211101), we obtain a palindrome (999909999).

The spelling of 1011121100 in words is "one billion, eleven million, one hundred twenty-one thousand, one hundred".