102200002101 has 40 divisors (see below), whose sum is σ = 160744240800. Its totient is φ = 64531352160.

The previous prime is 102200002031. The next prime is 102200002123. The reversal of 102200002101 is 101200002201.

It is not a de Polignac number, because 102200002101 - 2¹⁰ = 102200001077 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10797511 + ... + 10806971.

It is an arithmetic number, because the mean of its divisors is an integer number (4018606020).

Almost surely, 2^102200002101 is an apocalyptic number.

It is an amenable number.

102200002101 is a deficient number, since it is larger than the sum of its proper divisors (58544238699).

102200002101 is an equidigital number, since it uses as much as digits as its factorization.

102200002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16511 (or 16502 counting only the distinct ones).

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

Adding to 102200002101 its reverse (101200002201), we get a palindrome (203400004302).

The spelling of 102200002101 in words is "one hundred two billion, two hundred million, two thousand, one hundred one".