102212000001012 has 192 divisors, whose sum is σ = 273691063296000. Its totient is φ = 29386807633920.

The previous prime is 102212000000993. The next prime is 102212000001053. The reversal of 102212000001012 is 210100000212201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325092588 + ... + 325406844.

It is an arithmetic number, because the mean of its divisors is an integer number (1425474288000).

Almost surely, 2^{102212000001012} is an apocalyptic number.

102212000001012 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 102212000001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136845531648000).

102212000001012 is an abundant number, since it is smaller than the sum of its proper divisors (171479063294988).

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

102212000001012 is a wasteful number, since it uses less digits than its factorization.

102212000001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315166 (or 315164 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102212000001012 its reverse (210100000212201), we get a palindrome (312312000213213).

The spelling of 102212000001012 in words is "one hundred two trillion, two hundred twelve billion, one thousand, twelve".