1011021122112 has 56 divisors (see below), whose sum is σ = 2675228783136. Its totient is φ = 336977384448.

The previous prime is 1011021122021. The next prime is 1011021122131. The reversal of 1011021122112 is 2112211201101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1011021122091 and 1011021122100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2012283 + ... + 2464005.

It is an arithmetic number, because the mean of its divisors is an integer number (47771942556).

Almost surely, 2^{1011021122112} is an apocalyptic number.

1011021122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011021122112 is an abundant number, since it is smaller than the sum of its proper divisors (1664207661024).

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

1011021122112 is a wasteful number, since it uses less digits than its factorization.

1011021122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463395 (or 463385 counting only the distinct ones).

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

Adding to 1011021122112 its reverse (2112211201101), we get a palindrome (3123232323213).

The spelling of 1011021122112 in words is "one trillion, eleven billion, twenty-one million, one hundred twenty-two thousand, one hundred twelve".