1002112002112 has 56 divisors (see below), whose sum is σ = 2142086038400. Its totient is φ = 462393709056.

The previous prime is 1002112002079. The next prime is 1002112002119. The reversal of 1002112002112 is 2112002112001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1002112002092 and 1002112002101.

It is not an unprimeable number, because it can be changed into a prime (1002112002119) 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, 3106939 + ... + 3414277.

It is an arithmetic number, because the mean of its divisors is an integer number (38251536400).

Almost surely, 2^{1002112002112} is an apocalyptic number.

It is an amenable number.

1002112002112 is an abundant number, since it is smaller than the sum of its proper divisors (1139974036288).

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

1002112002112 is a wasteful number, since it uses less digits than its factorization.

1002112002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311283 (or 311273 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1002112002112 its reverse (2112002112001), we get a palindrome (3114114114113).

The spelling of 1002112002112 in words is "one trillion, two billion, one hundred twelve million, two thousand, one hundred twelve".