2011101102112 has 12 divisors (see below), whose sum is σ = 3959355294846. Its totient is φ = 1005550551040.

The previous prime is 2011101102107. The next prime is 2011101102203. The reversal of 2011101102112 is 2112011011102.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1728583339536 + 282517762576 = 1314756^2 + 531524^2 .

It is a super-2 number, since 2×2011101102112² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2011101102092 and 2011101102101.

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 as a sum of consecutive naturals, namely, 31423454689 + ... + 31423454752.

Almost surely, 2^{2011101102112} is an apocalyptic number.

It is an amenable number.

2011101102112 is a deficient number, since it is larger than the sum of its proper divisors (1948254192734).

2011101102112 is an equidigital number, since it uses as much as digits as its factorization.

2011101102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62846909451 (or 62846909443 counting only the distinct ones).

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

Adding to 2011101102112 its reverse (2112011011102), we get a palindrome (4123112113214).

The spelling of 2011101102112 in words is "two trillion, eleven billion, one hundred one million, one hundred two thousand, one hundred twelve".