1102101111111 has 128 divisors (see below), whose sum is σ = 2025601966080. Its totient is φ = 514540915200.

The previous prime is 1102101111077. The next prime is 1102101111113. The reversal of 1102101111111 is 1111111012011.

It is not a de Polignac number, because 1102101111111 - 2⁷ = 1102101110983 is a prime.

It is a super-2 number, since 2×1102101111111² (a number of 25 digits) contains 22 as substring.

1102101111111 is a modest number, since divided by 1111111 gives 110210 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102101111113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20823400 + ... + 20876258.

It is an arithmetic number, because the mean of its divisors is an integer number (15825015360).

Almost surely, 2^{1102101111111} is an apocalyptic number.

1102101111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1102101111111 is a deficient number, since it is larger than the sum of its proper divisors (923500854969).

1102101111111 is a wasteful number, since it uses less digits than its factorization.

1102101111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53077.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 1102101111111 its reverse (1111111012011), we get a palindrome (2213212123122).

The spelling of 1102101111111 in words is "one trillion, one hundred two billion, one hundred one million, one hundred eleven thousand, one hundred eleven".