102101020102020 has 96 divisors (see below), whose sum is σ = 287002394130816. Its totient is φ = 27120321331200.

The previous prime is 102101020102001. The next prime is 102101020102091. The reversal of 102101020102020 is 20201020101201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102101020101987 and 102101020102005.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1061171715 + ... + 1061267925.

It is an arithmetic number, because the mean of its divisors is an integer number (2989608272196).

Almost surely, 2^{102101020102020} is an apocalyptic number.

102101020102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101020102020 is an abundant number, since it is smaller than the sum of its proper divisors (184901374028796).

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

102101020102020 is a wasteful number, since it uses less digits than its factorization.

102101020102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165301 (or 165299 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102101020102020 its reverse (20201020101201), we get a palindrome (122302040203221).

The spelling of 102101020102020 in words is "one hundred two trillion, one hundred one billion, twenty million, one hundred two thousand, twenty".