1020101123112 has 32 divisors (see below), whose sum is σ = 2661133366080. Its totient is φ = 325249633280.

The previous prime is 1020101123087. The next prime is 1020101123117. The reversal of 1020101123112 is 2113211010201.

It is a junction number, because it is equal to n+sod(n) for n = 1020101123091 and 1020101123100.

It is not an unprimeable number, because it can be changed into a prime (1020101123117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 924004089 + ... + 924005192.

It is an arithmetic number, because the mean of its divisors is an integer number (83160417690).

Almost surely, 2^{1020101123112} is an apocalyptic number.

1020101123112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020101123112 is an abundant number, since it is smaller than the sum of its proper divisors (1641032242968).

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

1020101123112 is a wasteful number, since it uses less digits than its factorization.

1020101123112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848009313 (or 1848009309 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1020101123112 its reverse (2113211010201), we get a palindrome (3133312133313).

The spelling of 1020101123112 in words is "one trillion, twenty billion, one hundred one million, one hundred twenty-three thousand, one hundred twelve".