102120222001220 has 96 divisors (see below), whose sum is σ = 229452464102400. Its totient is φ = 38061739123200.

The previous prime is 102120222001199. The next prime is 102120222001223. The reversal of 102120222001220 is 22100222021201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102120222001223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469541261 + ... + 469758699.

It is an arithmetic number, because the mean of its divisors is an integer number (2390129834400).

Almost surely, 2^{102120222001220} is an apocalyptic number.

102120222001220 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 102120222001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114726232051200).

102120222001220 is an abundant number, since it is smaller than the sum of its proper divisors (127332242101180).

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

102120222001220 is a wasteful number, since it uses less digits than its factorization.

102120222001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237789 (or 237787 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102120222001220 its reverse (22100222021201), we get a palindrome (124220444022421).

The spelling of 102120222001220 in words is "one hundred two trillion, one hundred twenty billion, two hundred twenty-two million, one thousand, two hundred twenty".