11102101101 has 48 divisors (see below), whose sum is σ = 19958964480. Its totient is φ = 5790216960.

The previous prime is 11102101097. The next prime is 11102101159. The reversal of 11102101101 is 10110120111.

It is not a de Polignac number, because 11102101101 - 2² = 11102101097 is a prime.

It is a super-3 number, since 3×11102101101³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102101301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3265 + ... + 149046.

It is an arithmetic number, because the mean of its divisors is an integer number (415811760).

Almost surely, 2^11102101101 is an apocalyptic number.

It is an amenable number.

11102101101 is a deficient number, since it is larger than the sum of its proper divisors (8856863379).

11102101101 is a wasteful number, since it uses less digits than its factorization.

11102101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152426 (or 152423 counting only the distinct ones).

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

Adding to 11102101101 its reverse (10110120111), we get a palindrome (21212221212).

The spelling of 11102101101 in words is "eleven billion, one hundred two million, one hundred one thousand, one hundred one".