2100012122201 has 24 divisors (see below), whose sum is σ = 2500056990720. Its totient is φ = 1758033477312.

The previous prime is 2100012122191. The next prime is 2100012122209. The reversal of 2100012122201 is 1022212100012.

It is a de Polignac number, because none of the positive numbers 2^k-2100012122201 is a prime.

It is a super-2 number, since 2×2100012122201² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100012122209) 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 23 ways as a sum of consecutive naturals, for example, 151301 + ... + 2054973.

It is an arithmetic number, because the mean of its divisors is an integer number (104169041280).

Almost surely, 2^{2100012122201} is an apocalyptic number.

It is an amenable number.

2100012122201 is a deficient number, since it is larger than the sum of its proper divisors (400044868519).

2100012122201 is a wasteful number, since it uses less digits than its factorization.

2100012122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904213 (or 1904206 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2100012122201 its reverse (1022212100012), we get a palindrome (3122224222213).

The spelling of 2100012122201 in words is "two trillion, one hundred billion, twelve million, one hundred twenty-two thousand, two hundred one".