101112200120020 has 48 divisors (see below), whose sum is σ = 214723871989200. Its totient is φ = 39989985361920.

The previous prime is 101112200120003. The next prime is 101112200120111. The reversal of 101112200120020 is 20021002211101.

It can be written as a sum of positive squares in 8 ways, for example, as 1307025135504 + 99805174984516 = 1143252^2 + 9990254^2 .

It is a super-2 number, since 2×101112200120020² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184791640 + ... + 185338000.

It is an arithmetic number, because the mean of its divisors is an integer number (4473413999775).

Almost surely, 2^{101112200120020} is an apocalyptic number.

101112200120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112200120020 is an abundant number, since it is smaller than the sum of its proper divisors (113611671869180).

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

101112200120020 is a wasteful number, since it uses less digits than its factorization.

101112200120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650428 (or 650426 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101112200120020 its reverse (20021002211101), we get a palindrome (121133202331121).

The spelling of 101112200120020 in words is "one hundred one trillion, one hundred twelve billion, two hundred million, one hundred twenty thousand, twenty".