1002002112114 has 16 divisors (see below), whose sum is σ = 2037970398240. Its totient is φ = 328339675040.

The previous prime is 1002002112109. The next prime is 1002002112119. The reversal of 1002002112114 is 4112112002001.

It is an interprime number because it is at equal distance from previous prime (1002002112109) and next prime (1002002112119).

It is a junction number, because it is equal to n+sod(n) for n = 1002002112093 and 1002002112102.

It is not an unprimeable number, because it can be changed into a prime (1002002112119) 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, 1415256867 + ... + 1415257574.

It is an arithmetic number, because the mean of its divisors is an integer number (127373149890).

Almost surely, 2^{1002002112114} is an apocalyptic number.

1002002112114 is an abundant number, since it is smaller than the sum of its proper divisors (1035968286126).

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

1002002112114 is a wasteful number, since it uses less digits than its factorization.

1002002112114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830514505.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1002002112114 its reverse (4112112002001), we get a palindrome (5114114114115).

The spelling of 1002002112114 in words is "one trillion, two billion, two million, one hundred twelve thousand, one hundred fourteen".