101102112120020 has 288 divisors, whose sum is σ = 238385694605184. Its totient is φ = 35982199249920.

The previous prime is 101102112120007. The next prime is 101102112120077. The reversal of 101102112120020 is 20021211201101.

It is a junction number, because it is equal to n+sod(n) for n = 101102112119977 and 101102112120004.

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 95 ways as a sum of consecutive naturals, for example, 16484932874 + ... + 16484939006.

It is an arithmetic number, because the mean of its divisors is an integer number (827728106268).

Almost surely, 2^{101102112120020} is an apocalyptic number.

101102112120020 is a gapful number since it is divisible by the number (10) 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 101102112120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119192847302592).

101102112120020 is an abundant number, since it is smaller than the sum of its proper divisors (137283582485164).

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

101102112120020 is a wasteful number, since it uses less digits than its factorization.

101102112120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6871 (or 6858 counting only the distinct ones).

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

Adding to 101102112120020 its reverse (20021211201101), we get a palindrome (121123323321121).

The spelling of 101102112120020 in words is "one hundred one trillion, one hundred two billion, one hundred twelve million, one hundred twenty thousand, twenty".