102201022112212 has 12 divisors (see below), whose sum is σ = 179076194961300. Its totient is φ = 51036394980416.

The previous prime is 102201022112153. The next prime is 102201022112243. The reversal of 102201022112212 is 212211220102201.

102201022112212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26966978964676 + 75234043147536 = 5192974^2 + 8673756^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102201022112212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16029015337 + ... + 16029021712.

It is an arithmetic number, because the mean of its divisors is an integer number (14923016246775).

Almost surely, 2^{102201022112212} is an apocalyptic number.

It is an amenable number.

102201022112212 is a deficient number, since it is larger than the sum of its proper divisors (76875172849088).

102201022112212 is a wasteful number, since it uses less digits than its factorization.

102201022112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32058037850 (or 32058037848 counting only the distinct ones).

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

Adding to 102201022112212 its reverse (212211220102201), we get a palindrome (314412242214413).

The spelling of 102201022112212 in words is "one hundred two trillion, two hundred one billion, twenty-two million, one hundred twelve thousand, two hundred twelve".