102100220000020 has 48 divisors (see below), whose sum is σ = 241967919513600. Its totient is φ = 35847099182720.

The previous prime is 102100220000003. The next prime is 102100220000029. The reversal of 102100220000020 is 20000022001201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102100219999961 and 102100220000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100220000029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8001578260 + ... + 8001591019.

It is an arithmetic number, because the mean of its divisors is an integer number (5040998323200).

Almost surely, 2^{102100220000020} is an apocalyptic number.

102100220000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100220000020 is an abundant number, since it is smaller than the sum of its proper divisors (139867699513580).

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

102100220000020 is a wasteful number, since it uses less digits than its factorization.

102100220000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16003169328 (or 16003169326 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102100220000020 its reverse (20000022001201), we get a palindrome (122100242001221).

The spelling of 102100220000020 in words is "one hundred two trillion, one hundred billion, two hundred twenty million, twenty", and thus it is an aban number.