101100102100020 has 144 divisors (see below), whose sum is σ = 306856990440000. Its totient is φ = 26943620599296.

The previous prime is 101100102100003. The next prime is 101100102100043. The reversal of 101100102100020 is 20001201001101.

It is a happy number.

101100102100020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101100102099975 and 101100102100011.

It is a congruent number.

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, 2348467456 + ... + 2348510504.

It is an arithmetic number, because the mean of its divisors is an integer number (2130951322500).

Almost surely, 2^{101100102100020} is an apocalyptic number.

101100102100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100102100020 is an abundant number, since it is smaller than the sum of its proper divisors (205756888339980).

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

101100102100020 is a wasteful number, since it uses less digits than its factorization.

101100102100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50702 (or 50697 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101100102100020 its reverse (20001201001101), we get a palindrome (121101303101121).

The spelling of 101100102100020 in words is "one hundred one trillion, one hundred billion, one hundred two million, one hundred thousand, twenty".