1100002022129 has 2 divisors, whose sum is σ = 1100002022130. Its totient is φ = 1100002022128.

The previous prime is 1100002022099. The next prime is 1100002022137. The reversal of 1100002022129 is 9212202000011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 953263227904 + 146738794225 = 976352^2 + 383065^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100002022129 - 2⁸ = 1100002021873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1100002022129.

It is not a weakly prime, because it can be changed into another prime (1100002022429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550001011064 + 550001011065.

It is an arithmetic number, because the mean of its divisors is an integer number (550001011065).

Almost surely, 2^{1100002022129} is an apocalyptic number.

It is an amenable number.

1100002022129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100002022129 is an equidigital number, since it uses as much as digits as its factorization.

1100002022129 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 20.

The spelling of 1100002022129 in words is "one trillion, one hundred billion, two million, twenty-two thousand, one hundred twenty-nine".