102102200220020 has 384 divisors, whose sum is σ = 303267087728640. Its totient is φ = 27808839751680.

The previous prime is 102102200220017. The next prime is 102102200220023. The reversal of 102102200220020 is 20022002201201.

It is an interprime number because it is at equal distance from previous prime (102102200220017) and next prime (102102200220023).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102102200219977 and 102102200220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102200220023) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 504663122 + ... + 504865398.

It is an arithmetic number, because the mean of its divisors is an integer number (789758040960).

Almost surely, 2^{102102200220020} is an apocalyptic number.

102102200220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102102200220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151633543864320).

102102200220020 is an abundant number, since it is smaller than the sum of its proper divisors (201164887508620).

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

102102200220020 is a wasteful number, since it uses less digits than its factorization.

102102200220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203663 (or 203661 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102102200220020 its reverse (20022002201201), we get a palindrome (122124202421221).

The spelling of 102102200220020 in words is "one hundred two trillion, one hundred two billion, two hundred million, two hundred twenty thousand, twenty".