1102661255311 has 32 divisors (see below), whose sum is σ = 1474039572480. Its totient is φ = 798437952000.

The previous prime is 1102661255249. The next prime is 1102661255327. The reversal of 1102661255311 is 1135521662011.

It is a cyclic number.

It is not a de Polignac number, because 1102661255311 - 2⁷ = 1102661255183 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102661255351) 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 in 31 ways as a sum of consecutive naturals, for example, 5228040 + ... + 5434861.

It is an arithmetic number, because the mean of its divisors is an integer number (46063736640).

Almost surely, 2^{1102661255311} is an apocalyptic number.

1102661255311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1102661255311 is a deficient number, since it is larger than the sum of its proper divisors (371378317169).

1102661255311 is a wasteful number, since it uses less digits than its factorization.

1102661255311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10663015.

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 1102661255311 in words is "one trillion, one hundred two billion, six hundred sixty-one million, two hundred fifty-five thousand, three hundred eleven".