1100121102020 has 48 divisors (see below), whose sum is σ = 2336180600880. Its totient is φ = 435118301184.

The previous prime is 1100121102019. The next prime is 1100121102029. The reversal of 1100121102020 is 202011210011.

It can be written as a sum of positive squares in 8 ways, for example, as 91755679744 + 1008365422276 = 302912^2 + 1004174^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1100121101992 and 1100121102010.

It is not an unprimeable number, because it can be changed into a prime (1100121102029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1895792 + ... + 2407128.

It is an arithmetic number, because the mean of its divisors is an integer number (48670429185).

Almost surely, 2^{1100121102020} is an apocalyptic number.

1100121102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100121102020 is an abundant number, since it is smaller than the sum of its proper divisors (1236059498860).

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

1100121102020 is a wasteful number, since it uses less digits than its factorization.

1100121102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512552 (or 512550 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1100121102020 its reverse (202011210011), we get a palindrome (1302132312031).

The spelling of 1100121102020 in words is "one trillion, one hundred billion, one hundred twenty-one million, one hundred two thousand, twenty".