2111202101011 has 16 divisors (see below), whose sum is σ = 2363780337408. Its totient is φ = 1876016102400.

The previous prime is 2111202100979. The next prime is 2111202101053. The reversal of 2111202101011 is 1101012021112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2111202101011 - 2⁵ = 2111202100979 is a prime.

It is a super-2 number, since 2×2111202101011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2111202100982 and 2111202101000.

It is not an unprimeable number, because it can be changed into a prime (2111202101611) 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 15 ways as a sum of consecutive naturals, for example, 48832980 + ... + 48876193.

It is an arithmetic number, because the mean of its divisors is an integer number (147736271088).

Almost surely, 2^{2111202101011} is an apocalyptic number.

2111202101011 is a deficient number, since it is larger than the sum of its proper divisors (252578236397).

2111202101011 is a wasteful number, since it uses less digits than its factorization.

2111202101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97709262.

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

Adding to 2111202101011 its reverse (1101012021112), we get a palindrome (3212214122123).

The spelling of 2111202101011 in words is "two trillion, one hundred eleven billion, two hundred two million, one hundred one thousand, eleven".