1012122002112 has 56 divisors (see below), whose sum is σ = 2883898916976. Its totient is φ = 311422153728.

The previous prime is 1012122002107. The next prime is 1012122002117. The reversal of 1012122002112 is 2112002212101.

It is an interprime number because it is at equal distance from previous prime (1012122002107) and next prime (1012122002117).

It is a junction number, because it is equal to n+sod(n) for n = 1012122002091 and 1012122002100.

It is not an unprimeable number, because it can be changed into a prime (1012122002117) 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, 202746303 + ... + 202751294.

It is an arithmetic number, because the mean of its divisors is an integer number (51498194946).

Almost surely, 2^{1012122002112} is an apocalyptic number.

1012122002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012122002112 is an abundant number, since it is smaller than the sum of its proper divisors (1871776914864).

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

1012122002112 is a wasteful number, since it uses less digits than its factorization.

1012122002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405497625 (or 405497615 counting only the distinct ones).

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

Adding to 1012122002112 its reverse (2112002212101), we get a palindrome (3124124214213).

The spelling of 1012122002112 in words is "one trillion, twelve billion, one hundred twenty-two million, two thousand, one hundred twelve".