101110021110020 has 144 divisors (see below), whose sum is σ = 230243042993040. Its totient is φ = 37280607436800.

The previous prime is 101110021109989. The next prime is 101110021110031. The reversal of 101110021110020 is 20011120011101.

101110021110020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 84049436951104 + 17060584158916 = 9167848^2 + 4130446^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101110021109983 and 101110021110010.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11462417210 + ... + 11462426030.

It is an arithmetic number, because the mean of its divisors is an integer number (1598910020785).

Almost surely, 2^{101110021110020} is an apocalyptic number.

101110021110020 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 101110021110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115121521496520).

101110021110020 is an abundant number, since it is smaller than the sum of its proper divisors (129133021883020).

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

101110021110020 is a wasteful number, since it uses less digits than its factorization.

101110021110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13226 (or 13211 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101110021110020 its reverse (20011120011101), we get a palindrome (121121141121121).

The spelling of 101110021110020 in words is "one hundred one trillion, one hundred ten billion, twenty-one million, one hundred ten thousand, twenty".