102212002201212 has 96 divisors (see below), whose sum is σ = 265240789632000. Its totient is φ = 34038962306496.

The previous prime is 102212002201201. The next prime is 102212002201217. The reversal of 102212002201212 is 212102200212201.

It is a happy number.

102212002201212 is a `hidden beast` number, since 1 + 0 + 221 + 200 + 220 + 1 + 21 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212002201217) 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, 509921913 + ... + 510122319.

It is an arithmetic number, because the mean of its divisors is an integer number (2762924892000).

Almost surely, 2^{102212002201212} is an apocalyptic number.

102212002201212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102212002201212 is an abundant number, since it is smaller than the sum of its proper divisors (163028787430788).

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

102212002201212 is a wasteful number, since it uses less digits than its factorization.

102212002201212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204792 (or 204784 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102212002201212 its reverse (212102200212201), we get a palindrome (314314202413413).

The spelling of 102212002201212 in words is "one hundred two trillion, two hundred twelve billion, two million, two hundred one thousand, two hundred twelve".