102131201101 has 2 divisors, whose sum is σ = 102131201102. Its totient is φ = 102131201100.

The previous prime is 102131201089. The next prime is 102131201129. The reversal of 102131201101 is 101102131201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99271625476 + 2859575625 = 315074^2 + 53475^2 .

It is a cyclic number.

It is not a de Polignac number, because 102131201101 - 2¹⁵ = 102131168333 is a prime.

It is a super-2 number, since 2×102131201101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102131201131) 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 as a sum of consecutive naturals, namely, 51065600550 + 51065600551.

It is an arithmetic number, because the mean of its divisors is an integer number (51065600551).

Almost surely, 2^102131201101 is an apocalyptic number.

It is an amenable number.

102131201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102131201101 is an equidigital number, since it uses as much as digits as its factorization.

102131201101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 102131201101 its reverse (101102131201), we get a palindrome (203233332302).

It can be divided in two parts, 102131201 and 101, that multiplied together give a palindrome (10315251301).

The spelling of 102131201101 in words is "one hundred two billion, one hundred thirty-one million, two hundred one thousand, one hundred one".