1011001102112 has 24 divisors (see below), whose sum is σ = 1993348504476. Its totient is φ = 504753862912.

The previous prime is 1011001102103. The next prime is 1011001102201. The reversal of 1011001102112 is 2112011001101.

It can be written as a sum of positive squares in 2 ways, for example, as 732263564176 + 278737537936 = 855724^2 + 527956^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1011001102093 and 1011001102102.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 23312003 + ... + 23355330.

Almost surely, 2^{1011001102112} is an apocalyptic number.

It is an amenable number.

1011001102112 is a deficient number, since it is larger than the sum of its proper divisors (982347402364).

1011001102112 is an equidigital number, since it uses as much as digits as its factorization.

1011001102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46668020 (or 46668012 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1011001102112 its reverse (2112011001101), we get a palindrome (3123012103213).

The spelling of 1011001102112 in words is "one trillion, eleven billion, one million, one hundred two thousand, one hundred twelve".