102301100001 has 12 divisors (see below), whose sum is σ = 147788232228. Its totient is φ = 68191513344.

The previous prime is 102301099987. The next prime is 102301100017. The reversal of 102301100001 is 100001103201.

It can be written as a sum of positive squares in 2 ways, for example, as 25003199376 + 77297900625 = 158124^2 + 278025^2 .

It is not a de Polignac number, because 102301100001 - 2¹⁸ = 102300837857 is a prime.

It is a super-2 number, since 2×102301100001² (a number of 23 digits) contains 22 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 (102301100101) 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 11 ways as a sum of consecutive naturals, for example, 697720 + ... + 831513.

It is an arithmetic number, because the mean of its divisors is an integer number (12315686019).

Almost surely, 2^102301100001 is an apocalyptic number.

It is an amenable number.

102301100001 is a deficient number, since it is larger than the sum of its proper divisors (45487132227).

102301100001 is a wasteful number, since it uses less digits than its factorization.

102301100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536672 (or 1536669 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 102301100001 its reverse (100001103201), we get a palindrome (202302203202).

The spelling of 102301100001 in words is "one hundred two billion, three hundred one million, one hundred thousand, one".