102101020200020 has 48 divisors (see below), whose sum is σ = 214634310299136. Its totient is φ = 40798095648000.

The previous prime is 102101020200001. The next prime is 102101020200079. The reversal of 102101020200020 is 20002020101201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102101020199974 and 102101020200010.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 327310325 + ... + 327622115.

It is an arithmetic number, because the mean of its divisors is an integer number (4471548131232).

Almost surely, 2^{102101020200020} is an apocalyptic number.

102101020200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101020200020 is an abundant number, since it is smaller than the sum of its proper divisors (112533290099116).

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

102101020200020 is a wasteful number, since it uses less digits than its factorization.

102101020200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328712 (or 328710 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102101020200020 its reverse (20002020101201), we get a palindrome (122103040301221).

The spelling of 102101020200020 in words is "one hundred two trillion, one hundred one billion, twenty million, two hundred thousand, twenty".