2100122002001 has 16 divisors (see below), whose sum is σ = 2338046940240. Its totient is φ = 1877141575680.

The previous prime is 2100122001983. The next prime is 2100122002007. The reversal of 2100122002001 is 1002002210012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 461107544401 + 1639014457600 = 679049^2 + 1280240^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100122002001 - 2⁶ = 2100122001937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100122002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34886996 + ... + 34947141.

It is an arithmetic number, because the mean of its divisors is an integer number (146127933765).

Almost surely, 2^{2100122002001} is an apocalyptic number.

It is an amenable number.

2100122002001 is a deficient number, since it is larger than the sum of its proper divisors (237924938239).

2100122002001 is a wasteful number, since it uses less digits than its factorization.

2100122002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69834244.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2100122002001 its reverse (1002002210012), we get a palindrome (3102124212013).

The spelling of 2100122002001 in words is "two trillion, one hundred billion, one hundred twenty-two million, two thousand, one".