102212101021212 has 384 divisors, whose sum is σ = 337446144000000. Its totient is φ = 26023409685504.

The previous prime is 102212101021091. The next prime is 102212101021223. The reversal of 102212101021212 is 212120101212201.

102212101021212 is a `hidden beast` number, since 1 + 0 + 221 + 210 + 1 + 0 + 21 + 212 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2094528789 + ... + 2094577587.

It is an arithmetic number, because the mean of its divisors is an integer number (878766000000).

Almost surely, 2^{102212101021212} is an apocalyptic number.

102212101021212 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 102212101021212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168723072000000).

102212101021212 is an abundant number, since it is smaller than the sum of its proper divisors (235234042978788).

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

102212101021212 is a wasteful number, since it uses less digits than its factorization.

102212101021212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56210 (or 56202 counting only the distinct ones).

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

Adding to 102212101021212 its reverse (212120101212201), we get a palindrome (314332202233413).

The spelling of 102212101021212 in words is "one hundred two trillion, two hundred twelve billion, one hundred one million, twenty-one thousand, two hundred twelve".