2100001111121 has 4 divisors (see below), whose sum is σ = 2101615256244. Its totient is φ = 2098386966000.

The previous prime is 2100001111099. The next prime is 2100001111211. The reversal of 2100001111121 is 1211111000012.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 63854763025 + 2036146348096 = 252695^2 + 1426936^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100001111121 - 2³⁴ = 2082821241937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100001191121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 807070610 + ... + 807073211.

It is an arithmetic number, because the mean of its divisors is an integer number (525403814061).

Almost surely, 2^{2100001111121} is an apocalyptic number.

It is an amenable number.

2100001111121 is a deficient number, since it is larger than the sum of its proper divisors (1614145123).

2100001111121 is a wasteful number, since it uses less digits than its factorization.

2100001111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614145122.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2100001111121 its reverse (1211111000012), we get a palindrome (3311112111133).

It can be divided in two parts, 2100001 and 111121, that added together give a palindrome (2211122).

The spelling of 2100001111121 in words is "two trillion, one hundred billion, one million, one hundred eleven thousand, one hundred twenty-one".