102020022100020 has 96 divisors (see below), whose sum is σ = 285998953524480. Its totient is φ = 27172689546240.

The previous prime is 102020022100019. The next prime is 102020022100033. The reversal of 102020022100020 is 20001220020201.

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 = 102020022099969 and 102020022100005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514963704 + ... + 515161776.

It is an arithmetic number, because the mean of its divisors is an integer number (2979155765880).

Almost surely, 2^{102020022100020} is an apocalyptic number.

102020022100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020022100020 is an abundant number, since it is smaller than the sum of its proper divisors (183978931424460).

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

102020022100020 is a wasteful number, since it uses less digits than its factorization.

102020022100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208345 (or 208343 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102020022100020 its reverse (20001220020201), we get a palindrome (122021242120221).

The spelling of 102020022100020 in words is "one hundred two trillion, twenty billion, twenty-two million, one hundred thousand, twenty".