2100001022121 has 16 divisors (see below), whose sum is σ = 2896606719360. Its totient is φ = 1351699789440.

The previous prime is 2100001022111. The next prime is 2100001022129. The reversal of 2100001022121 is 1212201000012.

It is not a de Polignac number, because 2100001022121 - 2⁶ = 2100001022057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100001022097 and 2100001022106.

It is not an unprimeable number, because it can be changed into a prime (2100001022129) 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, 5282316 + ... + 5665938.

It is an arithmetic number, because the mean of its divisors is an integer number (181037919960).

Almost surely, 2^{2100001022121} is an apocalyptic number.

It is an amenable number.

2100001022121 is a deficient number, since it is larger than the sum of its proper divisors (796605697239).

2100001022121 is a wasteful number, since it uses less digits than its factorization.

2100001022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446576.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2100001022121 its reverse (1212201000012), we get a palindrome (3312202022133).

The spelling of 2100001022121 in words is "two trillion, one hundred billion, one million, twenty-two thousand, one hundred twenty-one".