1010111312112 has 80 divisors (see below), whose sum is σ = 2982347450880. Its totient is φ = 288592194816.

The previous prime is 1010111312083. The next prime is 1010111312113. The reversal of 1010111312112 is 2112131110101.

It is a junction number, because it is equal to n+sod(n) for n = 1010111312091 and 1010111312100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010111312113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13474189 + ... + 13548947.

It is an arithmetic number, because the mean of its divisors is an integer number (37279343136).

Almost surely, 2^{1010111312112} is an apocalyptic number.

1010111312112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010111312112 is an abundant number, since it is smaller than the sum of its proper divisors (1972236138768).

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

1010111312112 is a wasteful number, since it uses less digits than its factorization.

1010111312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114990 (or 114984 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 1010111312112 its reverse (2112131110101), we get a palindrome (3122242422213).

The spelling of 1010111312112 in words is "one trillion, ten billion, one hundred eleven million, three hundred twelve thousand, one hundred twelve".