101101201002112 has 32 divisors (see below), whose sum is σ = 203194960837380. Its totient is φ = 50103250046976.

The previous prime is 101101201002091. The next prime is 101101201002143. The reversal of 101101201002112 is 211200102101101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 100963429379136 + 137771622976 = 10048056^2 + 371176^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 101101201002092 and 101101201002101.

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 3 ways as a sum of consecutive naturals, for example, 3494910903 + ... + 3494939830.

Almost surely, 2^{101101201002112} is an apocalyptic number.

It is an amenable number.

101101201002112 is an abundant number, since it is smaller than the sum of its proper divisors (102093759835268).

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

101101201002112 is an equidigital number, since it uses as much as digits as its factorization.

101101201002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6989850860 (or 6989850848 counting only the distinct ones).

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

Adding to 101101201002112 its reverse (211200102101101), we get a palindrome (312301303103213).

The spelling of 101101201002112 in words is "one hundred one trillion, one hundred one billion, two hundred one million, two thousand, one hundred twelve".