102222200100020 has 576 divisors, whose sum is σ = 299790622043136. Its totient is φ = 28767716167680.

The previous prime is 102222200100011. The next prime is 102222200100047. The reversal of 102222200100020 is 20001002222201.

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 = 102222200099968 and 102222200100004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14576098034 + ... + 14576105046.

It is an arithmetic number, because the mean of its divisors is an integer number (520469829936).

Almost surely, 2^{102222200100020} is an apocalyptic number.

102222200100020 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 102222200100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149895311021568).

102222200100020 is an abundant number, since it is smaller than the sum of its proper divisors (197568421943116).

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

102222200100020 is a wasteful number, since it uses less digits than its factorization.

102222200100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9320 (or 9311 counting only the distinct ones).

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

Adding to 102222200100020 its reverse (20001002222201), we get a palindrome (122223202322221).

The spelling of 102222200100020 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred million, one hundred thousand, twenty".