2101120122011 has 16 divisors (see below), whose sum is σ = 2154768238080. Its totient is φ = 2048000928480.

The previous prime is 2101120121927. The next prime is 2101120122047. The reversal of 2101120122011 is 1102210211012.

It is a cyclic number.

It is not a de Polignac number, because 2101120122011 - 2¹⁰ = 2101120120987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101120122071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21886526 + ... + 21982316.

It is an arithmetic number, because the mean of its divisors is an integer number (134673014880).

Almost surely, 2^{2101120122011} is an apocalyptic number.

2101120122011 is a deficient number, since it is larger than the sum of its proper divisors (53648116069).

2101120122011 is a wasteful number, since it uses less digits than its factorization.

2101120122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98546.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2101120122011 its reverse (1102210211012), we get a palindrome (3203330333023).

The spelling of 2101120122011 in words is "two trillion, one hundred one billion, one hundred twenty million, one hundred twenty-two thousand, eleven".