1102101000111 has 12 divisors (see below), whose sum is σ = 1592061920592. Its totient is φ = 734670190656.

The previous prime is 1102101000107. The next prime is 1102101000151. The reversal of 1102101000111 is 1110001012011.

It is not a de Polignac number, because 1102101000111 - 2² = 1102101000107 is a prime.

It is a super-2 number, since 2×1102101000111² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1102101000093 and 1102101000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102101000151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5207946 + ... + 5415431.

It is an arithmetic number, because the mean of its divisors is an integer number (132671826716).

Almost surely, 2^{1102101000111} is an apocalyptic number.

1102101000111 is a deficient number, since it is larger than the sum of its proper divisors (489960920481).

1102101000111 is a wasteful number, since it uses less digits than its factorization.

1102101000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10634910 (or 10634907 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1102101000111 its reverse (1110001012011), we get a palindrome (2212102012122).

The spelling of 1102101000111 in words is "one trillion, one hundred two billion, one hundred one million, one hundred eleven", and thus it is an aban number.