2101121221111 has 12 divisors (see below), whose sum is σ = 2310110467056. Its totient is φ = 1909602722720.

The previous prime is 2101121221103. The next prime is 2101121221139. The reversal of 2101121221111 is 1111221211012.

It is not a de Polignac number, because 2101121221111 - 2³ = 2101121221103 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 (2101121221411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1849030 + ... + 2760643.

It is an arithmetic number, because the mean of its divisors is an integer number (192509205588).

Almost surely, 2^{2101121221111} is an apocalyptic number.

2101121221111 is a deficient number, since it is larger than the sum of its proper divisors (208989245945).

2101121221111 is a wasteful number, since it uses less digits than its factorization.

2101121221111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4613462 (or 4613451 counting only the distinct ones).

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

Adding to 2101121221111 its reverse (1111221211012), we get a palindrome (3212342432123).

It can be divided in two parts, 2101121 and 221111, that added together give a palindrome (2322232).

The spelling of 2101121221111 in words is "two trillion, one hundred one billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred eleven".