2101211111111 has 8 divisors (see below), whose sum is σ = 2457230269824. Its totient is φ = 1759153488120.

The previous prime is 2101211111099. The next prime is 2101211111117. The reversal of 2101211111111 is 1111111121012.

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

It is not a de Polignac number, because 2101211111111 - 2¹⁸ = 2101210848967 is a prime.

It is a Duffinian number.

2101211111111 is a modest number, since divided by 1111111 gives 210121 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101211111117) 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, 3490383605 + ... + 3490384206.

It is an arithmetic number, because the mean of its divisors is an integer number (307153783728).

Almost surely, 2^{2101211111111} is an apocalyptic number.

2101211111111 is a deficient number, since it is larger than the sum of its proper divisors (356019158713).

2101211111111 is an equidigital number, since it uses as much as digits as its factorization.

2101211111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6980767861.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 2101211111111 its reverse (1111111121012), we get a palindrome (3212322232123).

Subtracting from 2101211111111 its reverse (1111111121012), we obtain a palindrome (990099990099).

It can be divided in two parts, 21012 and 11111111, that multiplied together give a palindrome (233466664332).

The spelling of 2101211111111 in words is "two trillion, one hundred one billion, two hundred eleven million, one hundred eleven thousand, one hundred eleven".