1012020122112 has 160 divisors (see below), whose sum is σ = 2763752840640. Its totient is φ = 328977285120.

The previous prime is 1012020122101. The next prime is 1012020122119. The reversal of 1012020122112 is 2112210202101.

It is a junction number, because it is equal to n+sod(n) for n = 1012020122091 and 1012020122100.

It is not an unprimeable number, because it can be changed into a prime (1012020122119) 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, 9928687 + ... + 10030097.

It is an arithmetic number, because the mean of its divisors is an integer number (17273455254).

Almost surely, 2^{1012020122112} is an apocalyptic number.

1012020122112 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 1012020122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381876420320).

1012020122112 is an abundant number, since it is smaller than the sum of its proper divisors (1751732718528).

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

1012020122112 is an equidigital number, since it uses as much as digits as its factorization.

1012020122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101594 (or 101578 counting only the distinct ones).

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

Adding to 1012020122112 its reverse (2112210202101), we get a palindrome (3124230324213).

The spelling of 1012020122112 in words is "one trillion, twelve billion, twenty million, one hundred twenty-two thousand, one hundred twelve".