102201212222112 has 96 divisors (see below), whose sum is σ = 272939030784000. Its totient is φ = 33475698468608.

The previous prime is 102201212222111. The next prime is 102201212222201. The reversal of 102201212222112 is 211222212102201.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (102201212222111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9827203 + ... + 17348669.

It is an arithmetic number, because the mean of its divisors is an integer number (2843114904000).

Almost surely, 2^{102201212222112} is an apocalyptic number.

102201212222112 is a gapful number since it is divisible by the number (12) 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 102201212222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136469515392000).

102201212222112 is an abundant number, since it is smaller than the sum of its proper divisors (170737818561888).

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

102201212222112 is a wasteful number, since it uses less digits than its factorization.

102201212222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7523938 (or 7523930 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 102201212222112 its reverse (211222212102201), we get a palindrome (313423424324313).

The spelling of 102201212222112 in words is "one hundred two trillion, two hundred one billion, two hundred twelve million, two hundred twenty-two thousand, one hundred twelve".