1100121012 has 36 divisors (see below), whose sum is σ = 2790925956. Its totient is φ = 365379840.

The previous prime is 1100121007. The next prime is 1100121041. The reversal of 1100121012 is 2101210011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 487261476 + 612859536 = 22074^2 + 24756^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1100120985 and 1100121003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45189 + ... + 65132.

It is an arithmetic number, because the mean of its divisors is an integer number (77525721).

Almost surely, 2^1100121012 is an apocalyptic number.

1100121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100121012 is an abundant number, since it is smaller than the sum of its proper divisors (1690804944).

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

1100121012 is a wasteful number, since it uses less digits than its factorization.

1100121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110608 (or 110603 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1100121012 is about 33168.0721779244. The cubic root of 1100121012 is about 1032.3179680930.

Adding to 1100121012 its reverse (2101210011), we get a palindrome (3201331023).

The spelling of 1100121012 in words is "one billion, one hundred million, one hundred twenty-one thousand, twelve".