1102111121129 has 2 divisors, whose sum is σ = 1102111121130. Its totient is φ = 1102111121128.

The previous prime is 1102111121071. The next prime is 1102111121179. The reversal of 1102111121129 is 9211211112011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 944123155600 + 157987965529 = 971660^2 + 397477^2 .

It is a cyclic number.

It is not a de Polignac number, because 1102111121129 - 2¹² = 1102111117033 is a prime.

It is not a weakly prime, because it can be changed into another prime (1102111121179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551055560564 + 551055560565.

It is an arithmetic number, because the mean of its divisors is an integer number (551055560565).

Almost surely, 2^{1102111121129} is an apocalyptic number.

It is an amenable number.

1102111121129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102111121129 is an equidigital number, since it uses as much as digits as its factorization.

1102111121129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 1102111121129 in words is "one trillion, one hundred two billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty-nine".