2100120133311 has 24 divisors (see below), whose sum is σ = 3134607069360. Its totient is φ = 1353882750336.

The previous prime is 2100120133291. The next prime is 2100120133369. The reversal of 2100120133311 is 1133310210012.

2100120133311 is a `hidden beast` number, since 2 + 100 + 120 + 133 + 311 = 666.

It is not a de Polignac number, because 2100120133311 - 2⁶ = 2100120133247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100120133411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19291326 + ... + 19399883.

It is an arithmetic number, because the mean of its divisors is an integer number (130608627890).

Almost surely, 2^{2100120133311} is an apocalyptic number.

2100120133311 is a deficient number, since it is larger than the sum of its proper divisors (1034486936049).

2100120133311 is a wasteful number, since it uses less digits than its factorization.

2100120133311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38691415 (or 38691412 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2100120133311 its reverse (1133310210012), we get a palindrome (3233430343323).

The spelling of 2100120133311 in words is "two trillion, one hundred billion, one hundred twenty million, one hundred thirty-three thousand, three hundred eleven".