102133113221101 has 2 divisors, whose sum is σ = 102133113221102. Its totient is φ = 102133113221100.

The previous prime is 102133113220987. The next prime is 102133113221137. The reversal of 102133113221101 is 101122311331201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69118838123076 + 33014275098025 = 8313774^2 + 5745805^2 .

It is an emirp because it is prime and its reverse (101122311331201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102133113221101 - 2¹³ = 102133113212909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102133113221201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066556610550 + 51066556610551.

It is an arithmetic number, because the mean of its divisors is an integer number (51066556610551).

Almost surely, 2^{102133113221101} is an apocalyptic number.

It is an amenable number.

102133113221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102133113221101 is an equidigital number, since it uses as much as digits as its factorization.

102133113221101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 102133113221101 its reverse (101122311331201), we get a palindrome (203255424552302).

The spelling of 102133113221101 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred thirteen million, two hundred twenty-one thousand, one hundred one".