1011200110011 has 192 divisors, whose sum is σ = 1888532755200. Its totient is φ = 517704929280.

The previous prime is 1011200110009. The next prime is 1011200110093. The reversal of 1011200110011 is 1100110021101.

It is not a de Polignac number, because 1011200110011 - 2¹ = 1011200110009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

1011200110011 is a modest number, since divided by 110011 gives 10112 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1011200109975 and 1011200110002.

It is not an unprimeable number, because it can be changed into a prime (1011200110001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1147786291 + ... + 1147787171.

It is an arithmetic number, because the mean of its divisors is an integer number (9836108100).

Almost surely, 2^{1011200110011} is an apocalyptic number.

1011200110011 is a deficient number, since it is larger than the sum of its proper divisors (877332645189).

1011200110011 is a wasteful number, since it uses less digits than its factorization.

1011200110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1011200110011 its reverse (1100110021101), we get a palindrome (2111310131112).

It can be divided in two parts, 1011200 and 110011, that added together give a palindrome (1121211).

The spelling of 1011200110011 in words is "one trillion, eleven billion, two hundred million, one hundred ten thousand, eleven".