1001111210121 has 128 divisors (see below), whose sum is σ = 1633930444800. Its totient is φ = 538179932160.

The previous prime is 1001111210083. The next prime is 1001111210147. The reversal of 1001111210121 is 1210121111001.

It is not a de Polignac number, because 1001111210121 - 2¹³ = 1001111201929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001111210097 and 1001111210106.

It is not an unprimeable number, because it can be changed into a prime (1001111210161) 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 127 ways as a sum of consecutive naturals, for example, 86903800 + ... + 86915318.

It is an arithmetic number, because the mean of its divisors is an integer number (12765081600).

Almost surely, 2^{1001111210121} is an apocalyptic number.

1001111210121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001111210121 is a deficient number, since it is larger than the sum of its proper divisors (632819234679).

1001111210121 is a wasteful number, since it uses less digits than its factorization.

1001111210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11719.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1001111210121 its reverse (1210121111001), we get a palindrome (2211232321122).

The spelling of 1001111210121 in words is "one trillion, one billion, one hundred eleven million, two hundred ten thousand, one hundred twenty-one".