21100233200129 has 2 divisors, whose sum is σ = 21100233200130. Its totient is φ = 21100233200128.

The previous prime is 21100233200089. The next prime is 21100233200141. The reversal of 21100233200129 is 92100233200112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21078520588225 + 21712611904 = 4591135^2 + 147352^2 .

It is a cyclic number.

It is not a de Polignac number, because 21100233200129 - 2²⁴ = 21100216422913 is a prime.

It is a super-2 number, since 2×21100233200129² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21100233200098 and 21100233200107.

It is not a weakly prime, because it can be changed into another prime (21100233200159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550116600064 + 10550116600065.

It is an arithmetic number, because the mean of its divisors is an integer number (10550116600065).

Almost surely, 2^{21100233200129} is an apocalyptic number.

It is an amenable number.

21100233200129 is a deficient number, since it is larger than the sum of its proper divisors (1).

21100233200129 is an equidigital number, since it uses as much as digits as its factorization.

21100233200129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 21100233200129 in words is "twenty-one trillion, one hundred billion, two hundred thirty-three million, two hundred thousand, one hundred twenty-nine".