11102111031 has 32 divisors (see below), whose sum is σ = 16480820736. Its totient is φ = 6591312000.

The previous prime is 11102111023. The next prime is 11102111039. The reversal of 11102111031 is 13011120111.

It is an interprime number because it is at equal distance from previous prime (11102111023) and next prime (11102111039).

It is not a de Polignac number, because 11102111031 - 2³ = 11102111023 is a prime.

It is a super-2 number, since 2×11102111031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11102110998 and 11102111016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102111039) 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, 352761 + ... + 382941.

It is an arithmetic number, because the mean of its divisors is an integer number (515025648).

Almost surely, 2^11102111031 is an apocalyptic number.

11102111031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11102111031 is a deficient number, since it is larger than the sum of its proper divisors (5378709705).

11102111031 is a wasteful number, since it uses less digits than its factorization.

11102111031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30423.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11102111031 its reverse (13011120111), we get a palindrome (24113231142).

The spelling of 11102111031 in words is "eleven billion, one hundred two million, one hundred eleven thousand, thirty-one".