1021112120112 has 160 divisors (see below), whose sum is σ = 3080664158208. Its totient is φ = 285432139008.

The previous prime is 1021112120107. The next prime is 1021112120129. The reversal of 1021112120112 is 2110212111201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1021112120091 and 1021112120100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2694723 + ... + 3050205.

Almost surely, 2^{1021112120112} is an apocalyptic number.

1021112120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021112120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540332079104).

1021112120112 is an abundant number, since it is smaller than the sum of its proper divisors (2059552038096).

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

1021112120112 is a wasteful number, since it uses less digits than its factorization.

1021112120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355687 (or 355681 counting only the distinct ones).

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

Adding to 1021112120112 its reverse (2110212111201), we get a palindrome (3131324231313).

The spelling of 1021112120112 in words is "one trillion, twenty-one billion, one hundred twelve million, one hundred twenty thousand, one hundred twelve".