102102210101201 has 4 divisors (see below), whose sum is σ = 102102246174900. Its totient is φ = 102102174027504.

The previous prime is 102102210101189. The next prime is 102102210101263. The reversal of 102102210101201 is 102101012201201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 75087840024976 + 27014370076225 = 8665324^2 + 5197535^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102210101201 - 2¹⁴ = 102102210084817 is a prime.

It is a super-2 number, since 2×102102210101201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102102210101291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13392686 + ... + 19584903.

It is an arithmetic number, because the mean of its divisors is an integer number (25525561543725).

Almost surely, 2^{102102210101201} is an apocalyptic number.

It is an amenable number.

102102210101201 is a deficient number, since it is larger than the sum of its proper divisors (36073699).

102102210101201 is an equidigital number, since it uses as much as digits as its factorization.

102102210101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36073698.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102102210101201 its reverse (102101012201201), we get a palindrome (204203222302402).

The spelling of 102102210101201 in words is "one hundred two trillion, one hundred two billion, two hundred ten million, one hundred one thousand, two hundred one".