102212010009 has 48 divisors (see below), whose sum is σ = 161357788800. Its totient is φ = 62085450240.

The previous prime is 102212009951. The next prime is 102212010013. The reversal of 102212010009 is 900010212201.

It is not a de Polignac number, because 102212010009 - 2¹⁶ = 102211944473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102212009973 and 102212010000.

It is not an unprimeable number, because it can be changed into a prime (102212010049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1081174 + ... + 1171904.

It is an arithmetic number, because the mean of its divisors is an integer number (3361620600).

Almost surely, 2^102212010009 is an apocalyptic number.

It is an amenable number.

102212010009 is a deficient number, since it is larger than the sum of its proper divisors (59145778791).

102212010009 is a wasteful number, since it uses less digits than its factorization.

102212010009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90990 (or 90987 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 102212010009 in words is "one hundred two billion, two hundred twelve million, ten thousand, nine".