101112120120020 has 24 divisors (see below), whose sum is σ = 217514365723368. Its totient is φ = 39458388339200.

The previous prime is 101112120119993. The next prime is 101112120120029. The reversal of 101112120120020 is 20021021211101.

It can be written as a sum of positive squares in 4 ways, for example, as 405315582736 + 100706804537284 = 636644^2 + 10035278^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101112120119977 and 101112120120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112120120029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61653730961 + ... + 61653732600.

It is an arithmetic number, because the mean of its divisors is an integer number (9063098571807).

Almost surely, 2^{101112120120020} is an apocalyptic number.

101112120120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112120120020 is an abundant number, since it is smaller than the sum of its proper divisors (116402245603348).

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

101112120120020 is a wasteful number, since it uses less digits than its factorization.

101112120120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123307463611 (or 123307463609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101112120120020 its reverse (20021021211101), we get a palindrome (121133141331121).

The spelling of 101112120120020 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty million, one hundred twenty thousand, twenty".