102211101202212 has 144 divisors (see below), whose sum is σ = 261188801415360. Its totient is φ = 33698959200000.

The previous prime is 102211101202193. The next prime is 102211101202229. The reversal of 102211101202212 is 212202101112201.

102211101202212 is a `hidden beast` number, since 1 + 0 + 221 + 110 + 120 + 2 + 212 = 666.

102211101202212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 27934160839 + ... + 27934164497.

It is an arithmetic number, because the mean of its divisors is an integer number (1813811120940).

Almost surely, 2^{102211101202212} is an apocalyptic number.

102211101202212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102211101202212 is an abundant number, since it is smaller than the sum of its proper divisors (158977700213148).

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

102211101202212 is a wasteful number, since it uses less digits than its factorization.

102211101202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9434 (or 9429 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102211101202212 its reverse (212202101112201), we get a palindrome (314413202314413).

The spelling of 102211101202212 in words is "one hundred two trillion, two hundred eleven billion, one hundred one million, two hundred two thousand, two hundred twelve".