102102220122100 has 144 divisors (see below), whose sum is σ = 242228136157056. Its totient is φ = 37047623616000.

The previous prime is 102102220122079. The next prime is 102102220122127. The reversal of 102102220122100 is 1221022201201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 959942122 + ... + 960048478.

It is an arithmetic number, because the mean of its divisors is an integer number (1682139834424).

Almost surely, 2^{102102220122100} is an apocalyptic number.

102102220122100 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 102102220122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121114068078528).

102102220122100 is an abundant number, since it is smaller than the sum of its proper divisors (140125916034956).

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

102102220122100 is a wasteful number, since it uses less digits than its factorization.

102102220122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108266 (or 108259 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102102220122100 its reverse (1221022201201), we get a palindrome (103323242323301).

The spelling of 102102220122100 in words is "one hundred two trillion, one hundred two billion, two hundred twenty million, one hundred twenty-two thousand, one hundred".