102132212312101 has 2 divisors, whose sum is σ = 102132212312102. Its totient is φ = 102132212312100.

The previous prime is 102132212312099. The next prime is 102132212312183. The reversal of 102132212312101 is 101213212231201.

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., 86428816824100 + 15703395488001 = 9296710^2 + 3962751^2 .

It is a cyclic number.

It is not a de Polignac number, because 102132212312101 - 2¹ = 102132212312099 is a prime.

Together with 102132212312099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102132212310101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066106156050 + 51066106156051.

It is an arithmetic number, because the mean of its divisors is an integer number (51066106156051).

Almost surely, 2^{102132212312101} is an apocalyptic number.

It is an amenable number.

102132212312101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102132212312101 is an equidigital number, since it uses as much as digits as its factorization.

102132212312101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 102132212312101 its reverse (101213212231201), we get a palindrome (203345424543302).

The spelling of 102132212312101 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred twelve million, three hundred twelve thousand, one hundred one".