2101100221221 has 16 divisors (see below), whose sum is σ = 2896901449728. Its totient is φ = 1353174505200.

The previous prime is 2101100221201. The next prime is 2101100221223. The reversal of 2101100221221 is 1221220011012.

It is not a de Polignac number, because 2101100221221 - 2¹³ = 2101100213029 is a prime.

It is a super-2 number, since 2×2101100221221² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2101100221221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101100221223) 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, 19730151 + ... + 19836356.

It is an arithmetic number, because the mean of its divisors is an integer number (181056340608).

Almost surely, 2^{2101100221221} is an apocalyptic number.

It is an amenable number.

2101100221221 is a deficient number, since it is larger than the sum of its proper divisors (795801228507).

2101100221221 is a wasteful number, since it uses less digits than its factorization.

2101100221221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39567112.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2101100221221 its reverse (1221220011012), we get a palindrome (3322320232233).

The spelling of 2101100221221 in words is "two trillion, one hundred one billion, one hundred million, two hundred twenty-one thousand, two hundred twenty-one".