102012200109 has 6 divisors (see below), whose sum is σ = 147350955726. Its totient is φ = 68008133400.

The previous prime is 102012200099. The next prime is 102012200113. The reversal of 102012200109 is 901002210201.

It can be written as a sum of positive squares in only one way, i.e., 68796044100 + 33216156009 = 262290^2 + 182253^2 .

It is not a de Polignac number, because 102012200109 - 2¹³ = 102012191917 is a prime.

It is a super-3 number, since 3×102012200109³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102012200091 and 102012200100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012200149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5667344442 + ... + 5667344459.

It is an arithmetic number, because the mean of its divisors is an integer number (24558492621).

Almost surely, 2^102012200109 is an apocalyptic number.

It is an amenable number.

102012200109 is a deficient number, since it is larger than the sum of its proper divisors (45338755617).

102012200109 is a wasteful number, since it uses less digits than its factorization.

102012200109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11334688907 (or 11334688904 counting only the distinct ones).

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

The spelling of 102012200109 in words is "one hundred two billion, twelve million, two hundred thousand, one hundred nine".