102101200101 has 12 divisors (see below), whose sum is σ = 148123529580. Its totient is φ = 67770227520.

The previous prime is 102101200079. The next prime is 102101200109. The reversal of 102101200101 is 101002101201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 52349897601 + 49751302500 = 228801^2 + 223050^2 .

It is not a de Polignac number, because 102101200101 - 2⁶ = 102101200037 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 (102101200109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24767760 + ... + 24771881.

It is an arithmetic number, because the mean of its divisors is an integer number (12343627465).

Almost surely, 2^102101200101 is an apocalyptic number.

It is an amenable number.

102101200101 is a deficient number, since it is larger than the sum of its proper divisors (46022329479).

102101200101 is a wasteful number, since it uses less digits than its factorization.

102101200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49539876 (or 49539873 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102101200101 its reverse (101002101201), we get a palindrome (203103301302).

The spelling of 102101200101 in words is "one hundred two billion, one hundred one million, two hundred thousand, one hundred one".