110001111002112 has 352 divisors, whose sum is σ = 333433902348288. Its totient is φ = 31938969600000.

The previous prime is 110001111002087. The next prime is 110001111002113. The reversal of 110001111002112 is 211200111100011.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (110001111002113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105282912 + ... + 106322592.

Almost surely, 2^{110001111002112} is an apocalyptic number.

110001111002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110001111002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166716951174144).

110001111002112 is an abundant number, since it is smaller than the sum of its proper divisors (223432791346176).

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

110001111002112 is a wasteful number, since it uses less digits than its factorization.

110001111002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039847 (or 1039829 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110001111002112 its reverse (211200111100011), we get a palindrome (321201222102123).

The spelling of 110001111002112 in words is "one hundred ten trillion, one billion, one hundred eleven million, two thousand, one hundred twelve".