102212000000001 has 12 divisors (see below), whose sum is σ = 147990243341460. Its totient is φ = 67979477432160.

The previous prime is 102211999999937. The next prime is 102212000000017. The reversal of 102212000000001 is 100000000212201.

It can be written as a sum of positive squares in 2 ways, for example, as 21908016360000 + 80303983640001 = 4680600^2 + 8961249^2 .

It is not a de Polignac number, because 102212000000001 - 2⁶ = 102211999999937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a self number, because there is not a number n which added to its sum of digits gives 102212000000001.

It is not an unprimeable number, because it can be changed into a prime (102212000007001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13487987766 + ... + 13487995343.

It is an arithmetic number, because the mean of its divisors is an integer number (12332520278455).

Almost surely, 2^{102212000000001} is an apocalyptic number.

It is an amenable number.

102212000000001 is a deficient number, since it is larger than the sum of its proper divisors (45778243341459).

102212000000001 is a wasteful number, since it uses less digits than its factorization.

102212000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26975983536 (or 26975983533 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102212000000001 its reverse (100000000212201), we get a palindrome (202212000212202).

The spelling of 102212000000001 in words is "one hundred two trillion, two hundred twelve billion, one", and thus it is an aban number.