102222121000020 has 192 divisors, whose sum is σ = 344372225863680. Its totient is φ = 22132418337792.

The previous prime is 102222120999979. The next prime is 102222121000049. The reversal of 102222121000020 is 20000121222201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60395809 + ... + 62065271.

It is an arithmetic number, because the mean of its divisors is an integer number (1793605343040).

Almost surely, 2^{102222121000020} is an apocalyptic number.

102222121000020 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 102222121000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172186112931840).

102222121000020 is an abundant number, since it is smaller than the sum of its proper divisors (242150104863660).

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

102222121000020 is a wasteful number, since it uses less digits than its factorization.

102222121000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677174 (or 1677172 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102222121000020 its reverse (20000121222201), we get a palindrome (122222242222221).

The spelling of 102222121000020 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred twenty-one million, twenty", and thus it is an aban number.