2101200211201 has 16 divisors (see below), whose sum is σ = 2621518501504. Its totient is φ = 1639714264704.

The previous prime is 2101200211177. The next prime is 2101200211207. The reversal of 2101200211201 is 1021120021012.

It is a cyclic number.

It is not a de Polignac number, because 2101200211201 - 2³¹ = 2099052727553 is a prime.

It is a super-3 number, since 3×2101200211201³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (2101200211207) 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, 158144811 + ... + 158158096.

It is an arithmetic number, because the mean of its divisors is an integer number (163844906344).

Almost surely, 2^{2101200211201} is an apocalyptic number.

It is an amenable number.

2101200211201 is a deficient number, since it is larger than the sum of its proper divisors (520318290303).

2101200211201 is a wasteful number, since it uses less digits than its factorization.

2101200211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316303000.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2101200211201 its reverse (1021120021012), we get a palindrome (3122320232213).

The spelling of 2101200211201 in words is "two trillion, one hundred one billion, two hundred million, two hundred eleven thousand, two hundred one".