1112100112101 has 64 divisors (see below), whose sum is σ = 1804574453760. Its totient is φ = 600880727040.

The previous prime is 1112100112063. The next prime is 1112100112117. The reversal of 1112100112101 is 1012110012111.

It is not a de Polignac number, because 1112100112101 - 2¹⁸ = 1112099849957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112100110101) 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 63 ways as a sum of consecutive naturals, for example, 910615 + ... + 1747403.

It is an arithmetic number, because the mean of its divisors is an integer number (28196475840).

Almost surely, 2^{1112100112101} is an apocalyptic number.

1112100112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1112100112101 is a deficient number, since it is larger than the sum of its proper divisors (692474341659).

1112100112101 is a wasteful number, since it uses less digits than its factorization.

1112100112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836946.

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

Adding to 1112100112101 its reverse (1012110012111), we get a palindrome (2124210124212).

The spelling of 1112100112101 in words is "one trillion, one hundred twelve billion, one hundred million, one hundred twelve thousand, one hundred one".