2102011211211 has 8 divisors (see below), whose sum is σ = 2829892116480. Its totient is φ = 1387735556712.

The previous prime is 2102011211173. The next prime is 2102011211227. The reversal of 2102011211211 is 1121121102012.

It is a happy number.

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

It is not a de Polignac number, because 2102011211211 - 2¹⁴ = 2102011194827 is a prime.

It is a super-2 number, since 2×2102011211211² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2102011211231) 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 7 ways as a sum of consecutive naturals, for example, 3401312331 + ... + 3401312948.

It is an arithmetic number, because the mean of its divisors is an integer number (353736514560).

Almost surely, 2^{2102011211211} is an apocalyptic number.

2102011211211 is a deficient number, since it is larger than the sum of its proper divisors (727880905269).

2102011211211 is a wasteful number, since it uses less digits than its factorization.

2102011211211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6802625385.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2102011211211 its reverse (1121121102012), we get a palindrome (3223132313223).

The spelling of 2102011211211 in words is "two trillion, one hundred two billion, eleven million, two hundred eleven thousand, two hundred eleven".