102133101101 has 2 divisors, whose sum is σ = 102133101102. Its totient is φ = 102133101100.

The previous prime is 102133101097. The next prime is 102133101131. The reversal of 102133101101 is 101101331201.

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., 81081993001 + 21051108100 = 284749^2 + 145090^2 .

It is a cyclic number.

It is not a de Polignac number, because 102133101101 - 2² = 102133101097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102133101131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066550550 + 51066550551.

It is an arithmetic number, because the mean of its divisors is an integer number (51066550551).

Almost surely, 2^102133101101 is an apocalyptic number.

It is an amenable number.

102133101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102133101101 is an equidigital number, since it uses as much as digits as its factorization.

102133101101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 102133101101 its reverse (101101331201), we get a palindrome (203234432302).

The spelling of 102133101101 in words is "one hundred two billion, one hundred thirty-three million, one hundred one thousand, one hundred one".