1002112112121 has 8 divisors (see below), whose sum is σ = 1349121808320. Its totient is φ = 661588578672.

The previous prime is 1002112112107. The next prime is 1002112112149. The reversal of 1002112112121 is 1212112112001.

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 1002112112121 - 2¹⁹ = 1002111587833 is a prime.

It is a super-2 number, since 2×1002112112121² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1002112112121.

It is not an unprimeable number, because it can be changed into a prime (1002112112161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1621540326 + ... + 1621540943.

It is an arithmetic number, because the mean of its divisors is an integer number (168640226040).

Almost surely, 2^{1002112112121} is an apocalyptic number.

It is an amenable number.

1002112112121 is a deficient number, since it is larger than the sum of its proper divisors (347009696199).

1002112112121 is a wasteful number, since it uses less digits than its factorization.

1002112112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243081375.

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

Adding to 1002112112121 its reverse (1212112112001), we get a palindrome (2214224224122).

The spelling of 1002112112121 in words is "one trillion, two billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty-one".