111002112102 has 256 divisors, whose sum is σ = 285937827840. Its totient is φ = 27996874752.

The previous prime is 111002112043. The next prime is 111002112161. The reversal of 111002112102 is 201211200111.

It is an interprime number because it is at equal distance from previous prime (111002112043) and next prime (111002112161).

It is a super-3 number, since 3×111002112102³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 162521053 + ... + 162521735.

It is an arithmetic number, because the mean of its divisors is an integer number (1116944640).

Almost surely, 2^111002112102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111002112102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142968913920).

111002112102 is an abundant number, since it is smaller than the sum of its proper divisors (174935715738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111002112102 is a wasteful number, since it uses less digits than its factorization.

111002112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 111002112102 its reverse (201211200111), we get a palindrome (312213312213).

The spelling of 111002112102 in words is "one hundred eleven billion, two million, one hundred twelve thousand, one hundred two".