111002211212129 has 2 divisors, whose sum is σ = 111002211212130. Its totient is φ = 111002211212128.

The previous prime is 111002211212107. The next prime is 111002211212203. The reversal of 111002211212129 is 921212112200111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110011883709025 + 990327503104 = 10488655^2 + 995152^2 .

It is a cyclic number.

It is not a de Polignac number, because 111002211212129 - 2²⁰ = 111002210163553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111002211212098 and 111002211212107.

It is not a weakly prime, because it can be changed into another prime (111002214212129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55501105606064 + 55501105606065.

It is an arithmetic number, because the mean of its divisors is an integer number (55501105606065).

Almost surely, 2^{111002211212129} is an apocalyptic number.

It is an amenable number.

111002211212129 is a deficient number, since it is larger than the sum of its proper divisors (1).

111002211212129 is an equidigital number, since it uses as much as digits as its factorization.

111002211212129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 111002211212129 in words is "one hundred eleven trillion, two billion, two hundred eleven million, two hundred twelve thousand, one hundred twenty-nine".