102200001000201 has 36 divisors (see below), whose sum is σ = 163568755432368. Its totient is φ = 61429696447392.

The previous prime is 102200001000199. The next prime is 102200001000299. The reversal of 102200001000201 is 102000100002201.

It is not a de Polignac number, because 102200001000201 - 2¹ = 102200001000199 is a prime.

It is a super-3 number, since 3×102200001000201³ (a number of 43 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (102200001000301) 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 35 ways as a sum of consecutive naturals, for example, 781244331 + ... + 781375136.

It is an arithmetic number, because the mean of its divisors is an integer number (4543576539788).

Almost surely, 2^{102200001000201} is an apocalyptic number.

It is an amenable number.

102200001000201 is a deficient number, since it is larger than the sum of its proper divisors (61368754432167).

102200001000201 is a wasteful number, since it uses less digits than its factorization.

102200001000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562619542 (or 1562619526 counting only the distinct ones).

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

Adding to 102200001000201 its reverse (102000100002201), we get a palindrome (204200101002402).

The spelling of 102200001000201 in words is "one hundred two trillion, two hundred billion, one million, two hundred one", and thus it is an aban number.