2100101211221 has 8 divisors (see below), whose sum is σ = 2261887349400. Its totient is φ = 1938349343232.

The previous prime is 2100101211157. The next prime is 2100101211227. The reversal of 2100101211221 is 1221121010012.

It can be written as a sum of positive squares in 4 ways, for example, as 322185652996 + 1777915558225 = 567614^2 + 1333385^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2100101211221 - 2⁶ = 2100101211157 is a prime.

It is a super-2 number, since 2×2100101211221² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100101211196 and 2100101211205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100101211227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8440196 + ... + 8685453.

It is an arithmetic number, because the mean of its divisors is an integer number (282735918675).

Almost surely, 2^{2100101211221} is an apocalyptic number.

It is an amenable number.

2100101211221 is a deficient number, since it is larger than the sum of its proper divisors (161786138179).

2100101211221 is a wasteful number, since it uses less digits than its factorization.

2100101211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17135095.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2100101211221 its reverse (1221121010012), we get a palindrome (3321222221233).

The spelling of 2100101211221 in words is "two trillion, one hundred billion, one hundred one million, two hundred eleven thousand, two hundred twenty-one".