2102102201111 has 16 divisors (see below), whose sum is σ = 2356359936000. Its totient is φ = 1858422437280.

The previous prime is 2102102201083. The next prime is 2102102201131. The reversal of 2102102201111 is 1111022012012.

It is not a de Polignac number, because 2102102201111 - 2¹⁴ = 2102102184727 is a prime.

It is a super-2 number, since 2×2102102201111² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102102201131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478271 + ... + 2105456.

It is an arithmetic number, because the mean of its divisors is an integer number (147272496000).

Almost surely, 2^{2102102201111} is an apocalyptic number.

2102102201111 is a deficient number, since it is larger than the sum of its proper divisors (254257734889).

2102102201111 is a wasteful number, since it uses less digits than its factorization.

2102102201111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585774.

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

Adding to 2102102201111 its reverse (1111022012012), we get a palindrome (3213124213123).

The spelling of 2102102201111 in words is "two trillion, one hundred two billion, one hundred two million, two hundred one thousand, one hundred eleven".