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132221312101 is a prime number
BaseRepresentation
bin111101100100100000…
…0010001110001100101
3110122021201201120222101
41323021000101301211
54131242123441401
6140424105332101
712360365415634
oct1731100216145
9418251646871
10132221312101
115109053585a
1221760797031
13c6121588a8
1465844d351b
15368cd90101
hex1ec9011c65

132221312101 has 2 divisors, whose sum is σ = 132221312102. Its totient is φ = 132221312100.

The previous prime is 132221312099. The next prime is 132221312117. The reversal of 132221312101 is 101213122231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73089663201 + 59131648900 = 270351^2 + 243170^2 .

It is a cyclic number.

It is not a de Polignac number, because 132221312101 - 21 = 132221312099 is a prime.

Together with 132221312099, 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 (132221310101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66110656050 + 66110656051.

It is an arithmetic number, because the mean of its divisors is an integer number (66110656051).

Almost surely, 2132221312101 is an apocalyptic number.

It is an amenable number.

132221312101 is a deficient number, since it is larger than the sum of its proper divisors (1).

132221312101 is an equidigital number, since it uses as much as digits as its factorization.

132221312101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 132221312101 its reverse (101213122231), we get a palindrome (233434434332).

The spelling of 132221312101 in words is "one hundred thirty-two billion, two hundred twenty-one million, three hundred twelve thousand, one hundred one".