100102002000201 has 16 divisors (see below), whose sum is σ = 149002102336320. Its totient is φ = 66418389948960.

The previous prime is 100102002000199. The next prime is 100102002000233. The reversal of 100102002000201 is 102000200201001.

It is not a de Polignac number, because 100102002000201 - 2¹ = 100102002000199 is a prime.

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 (100102002000601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8785495620 + ... + 8785507013.

It is an arithmetic number, because the mean of its divisors is an integer number (9312631396020).

Almost surely, 2^{100102002000201} is an apocalyptic number.

It is an amenable number.

100102002000201 is a deficient number, since it is larger than the sum of its proper divisors (48900100336119).

100102002000201 is a wasteful number, since it uses less digits than its factorization.

100102002000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17571002853 (or 17571002847 counting only the distinct ones).

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

Adding to 100102002000201 its reverse (102000200201001), we get a palindrome (202102202201202).

The spelling of 100102002000201 in words is "one hundred trillion, one hundred two billion, two million, two hundred one", and thus it is an aban number.