2100120000201 has 24 divisors (see below), whose sum is σ = 3035530485000. Its totient is φ = 1399146266112.

The previous prime is 2100120000169. The next prime is 2100120000233. The reversal of 2100120000201 is 1020000210012.

It is an interprime number because it is at equal distance from previous prime (2100120000169) and next prime (2100120000233).

It can be written as a sum of positive squares in 4 ways, for example, as 506716185600 + 1593403814601 = 711840^2 + 1262301^2 .

It is not a de Polignac number, because 2100120000201 - 2⁵ = 2100120000169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2100120000241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99290575 + ... + 99311723.

It is an arithmetic number, because the mean of its divisors is an integer number (126480436875).

Almost surely, 2^{2100120000201} is an apocalyptic number.

It is an amenable number.

2100120000201 is a deficient number, since it is larger than the sum of its proper divisors (935410484799).

2100120000201 is a wasteful number, since it uses less digits than its factorization.

2100120000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27993 (or 27990 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2100120000201 its reverse (1020000210012), we get a palindrome (3120120210213).

The spelling of 2100120000201 in words is "two trillion, one hundred billion, one hundred twenty million, two hundred one", and thus it is an aban number.