2101120000011 has 12 divisors (see below), whose sum is σ = 3035451429192. Its totient is φ = 1400515750656.

The previous prime is 2101119999991. The next prime is 2101120000039. The reversal of 2101120000011 is 1100000211012.

It is a happy number.

It is not a de Polignac number, because 2101120000011 - 2⁷ = 2101119999883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2101119999948 and 2101120000002.

It is not an unprimeable number, because it can be changed into a prime (2101120000711) 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, 19185366 + ... + 19294571.

It is an arithmetic number, because the mean of its divisors is an integer number (252954285766).

Almost surely, 2^{2101120000011} is an apocalyptic number.

2101120000011 is a deficient number, since it is larger than the sum of its proper divisors (934331429181).

2101120000011 is a wasteful number, since it uses less digits than its factorization.

2101120000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38486010 (or 38486007 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2101120000011 its reverse (1100000211012), we get a palindrome (3201120211023).

The spelling of 2101120000011 in words is "two trillion, one hundred one billion, one hundred twenty million, eleven", and thus it is an aban number.