2101120013331 has 12 divisors (see below), whose sum is σ = 3147356728152. Its totient is φ = 1400746675392.

The previous prime is 2101120013269. The next prime is 2101120013381. The reversal of 2101120013331 is 1333100211012.

2101120013331 is a `hidden beast` number, since 210 + 1 + 120 + 0 + 1 + 3 + 331 = 666.

It is not a de Polignac number, because 2101120013331 - 2¹⁹ = 2101119489043 is a prime.

It is a super-2 number, since 2×2101120013331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2101120013381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4323291966 + ... + 4323292451.

It is an arithmetic number, because the mean of its divisors is an integer number (262279727346).

Almost surely, 2^{2101120013331} is an apocalyptic number.

2101120013331 is a deficient number, since it is larger than the sum of its proper divisors (1046236714821).

2101120013331 is an frugal number, since it uses more digits than its factorization.

2101120013331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8646584432 (or 8646584420 counting only the distinct ones).

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

Adding to 2101120013331 its reverse (1333100211012), we get a palindrome (3434220224343).

The spelling of 2101120013331 in words is "two trillion, one hundred one billion, one hundred twenty million, thirteen thousand, three hundred thirty-one".