2100011122001 has 8 divisors (see below), whose sum is σ = 2262133217064. Its totient is φ = 1937972280960.

The previous prime is 2100011121997. The next prime is 2100011122003. The reversal of 2100011122001 is 1002211100012.

It can be written as a sum of positive squares in 4 ways, for example, as 443322930625 + 1656688191376 = 665825^2 + 1287124^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2100011122001 - 2² = 2100011121997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100011122003) 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 7 ways as a sum of consecutive naturals, for example, 20761106 + ... + 20862011.

It is an arithmetic number, because the mean of its divisors is an integer number (282766652133).

Almost surely, 2^{2100011122001} is an apocalyptic number.

It is an amenable number.

2100011122001 is a deficient number, since it is larger than the sum of its proper divisors (162122095063).

2100011122001 is a wasteful number, since it uses less digits than its factorization.

2100011122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41627011.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2100011122001 its reverse (1002211100012), we get a palindrome (3102222222013).

The spelling of 2100011122001 in words is "two trillion, one hundred billion, eleven million, one hundred twenty-two thousand, one".