1102011121129 has 2 divisors, whose sum is σ = 1102011121130. Its totient is φ = 1102011121128.

The previous prime is 1102011121117. The next prime is 1102011121153. The reversal of 1102011121129 is 9211211102011.

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., 976642015504 + 125369105625 = 988252^2 + 354075^2 .

It is a cyclic number.

It is not a de Polignac number, because 1102011121129 - 2¹⁷ = 1102010990057 is a prime.

It is a super-3 number, since 3×1102011121129³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1102011121229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551005560564 + 551005560565.

It is an arithmetic number, because the mean of its divisors is an integer number (551005560565).

Almost surely, 2^{1102011121129} is an apocalyptic number.

It is an amenable number.

1102011121129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102011121129 is an equidigital number, since it uses as much as digits as its factorization.

1102011121129 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 22.

The spelling of 1102011121129 in words is "one trillion, one hundred two billion, eleven million, one hundred twenty-one thousand, one hundred twenty-nine".