1001122121121 has 8 divisors (see below), whose sum is σ = 1334834829984. Its totient is φ = 667412079840.

The previous prime is 1001122121119. The next prime is 1001122121177. The reversal of 1001122121121 is 1211212211001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1001122121121 - 2¹ = 1001122121119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001122121121.

It is not an unprimeable number, because it can be changed into a prime (1001122121191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500941 + ... + 1501061.

It is an arithmetic number, because the mean of its divisors is an integer number (166854353748).

Almost surely, 2^{1001122121121} is an apocalyptic number.

It is an amenable number.

1001122121121 is a deficient number, since it is larger than the sum of its proper divisors (333712708863).

1001122121121 is a wasteful number, since it uses less digits than its factorization.

1001122121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333791.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1001122121121 its reverse (1211212211001), we get a palindrome (2212334332122).

The spelling of 1001122121121 in words is "one trillion, one billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-one".