101100110100020 has 48 divisors (see below), whose sum is σ = 213667085504208. Its totient is φ = 40181606599680.

The previous prime is 101100110100007. The next prime is 101100110100049. The reversal of 101100110100020 is 20001011001101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13132243216 + 101086977856804 = 114596^2 + 10054202^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101100110099980 and 101100110100007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158506064 + ... + 159142616.

It is an arithmetic number, because the mean of its divisors is an integer number (4451397614671).

Almost surely, 2^{101100110100020} is an apocalyptic number.

101100110100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100110100020 is an abundant number, since it is smaller than the sum of its proper divisors (112566975404188).

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

101100110100020 is a wasteful number, since it uses less digits than its factorization.

101100110100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687300 (or 687298 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101100110100020 its reverse (20001011001101), we get a palindrome (121101121101121).

The spelling of 101100110100020 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one hundred thousand, twenty".