102102122121220 has 192 divisors, whose sum is σ = 241676146575360. Its totient is φ = 35975259648000.

The previous prime is 102102122121211. The next prime is 102102122121257. The reversal of 102102122121220 is 22121221201201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3001309371 + ... + 3001343389.

It is an arithmetic number, because the mean of its divisors is an integer number (1258729930080).

Almost surely, 2^{102102122121220} is an apocalyptic number.

102102122121220 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 102102122121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120838073287680).

102102122121220 is an abundant number, since it is smaller than the sum of its proper divisors (139574024454140).

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

102102122121220 is a wasteful number, since it uses less digits than its factorization.

102102122121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39246 (or 39244 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102102122121220 its reverse (22121221201201), we get a palindrome (124223343322421).

The spelling of 102102122121220 in words is "one hundred two trillion, one hundred two billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty".