1210011001121 has 24 divisors (see below), whose sum is σ = 1388337003000. Its totient is φ = 1050462206976.

The previous prime is 1210011001097. The next prime is 1210011001159. The reversal of 1210011001121 is 1211001100121.

It can be written as a sum of positive squares in 12 ways, for example, as 240061781521 + 969949219600 = 489961^2 + 984860^2 .

It is not a de Polignac number, because 1210011001121 - 2²² = 1210006806817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1210011001321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3791255 + ... + 4098003.

It is an arithmetic number, because the mean of its divisors is an integer number (57847375125).

Almost surely, 2^{1210011001121} is an apocalyptic number.

It is an amenable number.

1210011001121 is a deficient number, since it is larger than the sum of its proper divisors (178326001879).

1210011001121 is a wasteful number, since it uses less digits than its factorization.

1210011001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308165 (or 308152 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1210011001121 its reverse (1211001100121), we get a palindrome (2421012101242).

The spelling of 1210011001121 in words is "one trillion, two hundred ten billion, eleven million, one thousand, one hundred twenty-one".