101112112121020 has 96 divisors (see below), whose sum is σ = 285093731575296. Its totient is φ = 29091197088000.

The previous prime is 101112112121017. The next prime is 101112112121047. The reversal of 101112112121020 is 20121211211101.

It is a junction number, because it is equal to n+sod(n) for n = 101112112120985 and 101112112121003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2525257506 + ... + 2525297545.

It is an arithmetic number, because the mean of its divisors is an integer number (2969726370576).

Almost surely, 2^{101112112121020} is an apocalyptic number.

101112112121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112112121020 is an abundant number, since it is smaller than the sum of its proper divisors (183981619454276).

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

101112112121020 is a wasteful number, since it uses less digits than its factorization.

101112112121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050555091 (or 5050555089 counting only the distinct ones).

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

Adding to 101112112121020 its reverse (20121211211101), we get a palindrome (121233323332121).

The spelling of 101112112121020 in words is "one hundred one trillion, one hundred twelve billion, one hundred twelve million, one hundred twenty-one thousand, twenty".