102102200001 has 32 divisors (see below), whose sum is σ = 161688925440. Its totient is φ = 63520617600.

The previous prime is 102102199987. The next prime is 102102200027. The reversal of 102102200001 is 100002201201.

It is a de Polignac number, because none of the positive numbers 2^k-102102200001 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102102200201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1979610 + ... + 2030531.

It is an arithmetic number, because the mean of its divisors is an integer number (5052778920).

Almost surely, 2^102102200001 is an apocalyptic number.

It is an amenable number.

102102200001 is a deficient number, since it is larger than the sum of its proper divisors (59586725439).

102102200001 is a wasteful number, since it uses less digits than its factorization.

102102200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010214 (or 4010208 counting only the distinct ones).

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

Adding to 102102200001 its reverse (100002201201), we get a palindrome (202104401202).

The spelling of 102102200001 in words is "one hundred two billion, one hundred two million, two hundred thousand, one".