1012122101112 has 64 divisors (see below), whose sum is σ = 2683602524160. Its totient is φ = 317415331200.

The previous prime is 1012122101087. The next prime is 1012122101167. The reversal of 1012122101112 is 2111012212101.

It is a happy number.

It is a super-2 number, since 2×1012122101112² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012122101091 and 1012122101100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14995464 + ... + 15062807.

It is an arithmetic number, because the mean of its divisors is an integer number (41931289440).

Almost surely, 2^{1012122101112} is an apocalyptic number.

1012122101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012122101112 is an abundant number, since it is smaller than the sum of its proper divisors (1671480423048).

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

1012122101112 is a wasteful number, since it uses less digits than its factorization.

1012122101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30058364 (or 30058360 counting only the distinct ones).

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

Adding to 1012122101112 its reverse (2111012212101), we get a palindrome (3123134313213).

The spelling of 1012122101112 in words is "one trillion, twelve billion, one hundred twenty-two million, one hundred one thousand, one hundred twelve".