2100221131311 has 6 divisors (see below), whose sum is σ = 3033652745240. Its totient is φ = 1400147420868.

The previous prime is 2100221131291. The next prime is 2100221131331. The reversal of 2100221131311 is 1131311220012.

2100221131311 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 221 + 131 + 311 = 666.

It is an interprime number because it is at equal distance from previous prime (2100221131291) and next prime (2100221131331).

It is not a de Polignac number, because 2100221131311 - 2¹¹ = 2100221129263 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100221131331) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 116678951731 + ... + 116678951748.

Almost surely, 2^{2100221131311} is an apocalyptic number.

2100221131311 is a deficient number, since it is larger than the sum of its proper divisors (933431613929).

2100221131311 is a wasteful number, since it uses less digits than its factorization.

2100221131311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233357903485 (or 233357903482 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2100221131311 its reverse (1131311220012), we get a palindrome (3231532351323).

The spelling of 2100221131311 in words is "two trillion, one hundred billion, two hundred twenty-one million, one hundred thirty-one thousand, three hundred eleven".