1011121102120 has 32 divisors (see below), whose sum is σ = 2275051098600. Its totient is φ = 404443353088.

The previous prime is 1011121102049. The next prime is 1011121102151. The reversal of 1011121102120 is 212011211101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 671714654724 + 339406447396 = 819582^2 + 582586^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1011121102120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6245232 + ... + 6405088.

Almost surely, 2^{1011121102120} is an apocalyptic number.

1011121102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011121102120 is an abundant number, since it is smaller than the sum of its proper divisors (1263929996480).

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

1011121102120 is a wasteful number, since it uses less digits than its factorization.

1011121102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317997 (or 317993 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1011121102120 its reverse (212011211101), we get a palindrome (1223132313221).

The spelling of 1011121102120 in words is "one trillion, eleven billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty".