2102122120201 has 32 divisors (see below), whose sum is σ = 2142501933600. Its totient is φ = 2062319616000.

The previous prime is 2102122120159. The next prime is 2102122120207. The reversal of 2102122120201 is 1020212212012.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1456791064576 + 645331055625 = 1206976^2 + 803325^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102122120201 - 2¹¹ = 2102122118153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102122120207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4854785281 + ... + 4854785713.

It is an arithmetic number, because the mean of its divisors is an integer number (66953185425).

Almost surely, 2^{2102122120201} is an apocalyptic number.

It is an amenable number.

2102122120201 is a deficient number, since it is larger than the sum of its proper divisors (40379813399).

2102122120201 is a wasteful number, since it uses less digits than its factorization.

2102122120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2102122120201 its reverse (1020212212012), we get a palindrome (3122334332213).

The spelling of 2102122120201 in words is "two trillion, one hundred two billion, one hundred twenty-two million, one hundred twenty thousand, two hundred one".