2101312221121 has 4 divisors (see below), whose sum is σ = 2211907601200. Its totient is φ = 1990716841044.

The previous prime is 2101312221119. The next prime is 2101312221163. The reversal of 2101312221121 is 1211222131012.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2101312221121 - 2¹ = 2101312221119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19), and also a Moran number because the ratio is a prime number: 110595380059 = 2101312221121 / (2 + 1 + 0 + 1 + 3 + 1 + 2 + 2 + 2 + 1 + 1 + 2 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101312221101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55297690011 + ... + 55297690048.

It is an arithmetic number, because the mean of its divisors is an integer number (552976900300).

Almost surely, 2^{2101312221121} is an apocalyptic number.

It is an amenable number.

2101312221121 is a deficient number, since it is larger than the sum of its proper divisors (110595380079).

2101312221121 is a wasteful number, since it uses less digits than its factorization.

2101312221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110595380078.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 2101312221121 its reverse (1211222131012), we get a palindrome (3312534352133).

The spelling of 2101312221121 in words is "two trillion, one hundred one billion, three hundred twelve million, two hundred twenty-one thousand, one hundred twenty-one".