101110201002112 has 64 divisors (see below), whose sum is σ = 210216400200000. Its totient is φ = 48350593629184.

The previous prime is 101110201002091. The next prime is 101110201002121. The reversal of 101110201002112 is 211200102011101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 101110201002092 and 101110201002101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19787118 + ... + 24366994.

It is an arithmetic number, because the mean of its divisors is an integer number (3284631253125).

Almost surely, 2^{101110201002112} is an apocalyptic number.

It is an amenable number.

101110201002112 is an abundant number, since it is smaller than the sum of its proper divisors (109106199197888).

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

101110201002112 is an equidigital number, since it uses as much as digits as its factorization.

101110201002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4587413 (or 4587401 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101110201002112 its reverse (211200102011101), we get a palindrome (312310303013213).

The spelling of 101110201002112 in words is "one hundred one trillion, one hundred ten billion, two hundred one million, two thousand, one hundred twelve".