11202120101011 has 16 divisors (see below), whose sum is σ = 13064031518400. Its totient is φ = 9601571293440.

The previous prime is 11202120100931. The next prime is 11202120101027. The reversal of 11202120101011 is 11010102120211.

It is a happy number.

It is not a de Polignac number, because 11202120101011 - 2²¹ = 11202118003859 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11202120100982 and 11202120101000.

It is not an unprimeable number, because it can be changed into a prime (11202120101411) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13684821 + ... + 14480281.

It is an arithmetic number, because the mean of its divisors is an integer number (816501969900).

Almost surely, 2^{11202120101011} is an apocalyptic number.

11202120101011 is a deficient number, since it is larger than the sum of its proper divisors (1861911417389).

11202120101011 is an frugal number, since it uses more digits than its factorization.

11202120101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836539 (or 836525 counting only the distinct ones).

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

Adding to 11202120101011 its reverse (11010102120211), we get a palindrome (22212222221222).

The spelling of 11202120101011 in words is "eleven trillion, two hundred two billion, one hundred twenty million, one hundred one thousand, eleven".