2121110110201 has 16 divisors (see below), whose sum is σ = 2251939369680. Its totient is φ = 1990956441600.

The previous prime is 2121110110181. The next prime is 2121110110219. The reversal of 2121110110201 is 1020110111212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 405324495801 + 1715785614400 = 636651^2 + 1309880^2 .

It is not a de Polignac number, because 2121110110201 - 2¹³ = 2121110102009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121110110291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29173245 + ... + 29245861.

It is an arithmetic number, because the mean of its divisors is an integer number (140746210605).

Almost surely, 2^{2121110110201} is an apocalyptic number.

It is an amenable number.

2121110110201 is a deficient number, since it is larger than the sum of its proper divisors (130829259479).

2121110110201 is a wasteful number, since it uses less digits than its factorization.

2121110110201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77244.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2121110110201 its reverse (1020110111212), we get a palindrome (3141220221413).

The spelling of 2121110110201 in words is "two trillion, one hundred twenty-one billion, one hundred ten million, one hundred ten thousand, two hundred one".