2011102102211 has 8 divisors (see below), whose sum is σ = 2031865227504. Its totient is φ = 1990339591680.

The previous prime is 2011102102201. The next prime is 2011102102213. The reversal of 2011102102211 is 1122012011102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2011102102211 - 2¹⁰ = 2011102101187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011102102213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9600551 + ... + 9807791.

It is an arithmetic number, because the mean of its divisors is an integer number (253983153438).

Almost surely, 2^{2011102102211} is an apocalyptic number.

2011102102211 is a deficient number, since it is larger than the sum of its proper divisors (20763125293).

2011102102211 is a wasteful number, since it uses less digits than its factorization.

2011102102211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307381.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2011102102211 its reverse (1122012011102), we get a palindrome (3133114113313).

The spelling of 2011102102211 in words is "two trillion, eleven billion, one hundred two million, one hundred two thousand, two hundred eleven".