100112101200111 has 64 divisors (see below), whose sum is σ = 180702835117056. Its totient is φ = 48005802599040.

The previous prime is 100112101200101. The next prime is 100112101200113. The reversal of 100112101200111 is 111002101211001.

It is not a de Polignac number, because 100112101200111 - 2¹⁸ = 100112100937967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112101200113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137394336 + ... + 138121061.

It is an arithmetic number, because the mean of its divisors is an integer number (2823481798704).

Almost surely, 2^{100112101200111} is an apocalyptic number.

100112101200111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100112101200111 is a deficient number, since it is larger than the sum of its proper divisors (80590733916945).

100112101200111 is a wasteful number, since it uses less digits than its factorization.

100112101200111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275515453 (or 275515431 counting only the distinct ones).

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

Adding to 100112101200111 its reverse (111002101211001), we get a palindrome (211114202411112).

The spelling of 100112101200111 in words is "one hundred trillion, one hundred twelve billion, one hundred one million, two hundred thousand, one hundred eleven".