110010221001101 has 16 divisors (see below), whose sum is σ = 117267456522096. Its totient is φ = 102840820432896.

The previous prime is 110010221001071. The next prime is 110010221001143. The reversal of 110010221001101 is 101100122010011.

It can be written as a sum of positive squares in 8 ways, for example, as 230664075625 + 109779556925476 = 480275^2 + 10477574^2 .

It is a cyclic number.

It is not a de Polignac number, because 110010221001101 - 2¹⁴ = 110010220984717 is a prime.

It is a super-2 number, since 2×110010221001101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110010221001701) 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, 664916 + ... + 14847981.

It is an arithmetic number, because the mean of its divisors is an integer number (7329216032631).

Almost surely, 2^{110010221001101} is an apocalyptic number.

It is an amenable number.

110010221001101 is a deficient number, since it is larger than the sum of its proper divisors (7257235520995).

110010221001101 is a wasteful number, since it uses less digits than its factorization.

110010221001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15515728.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 110010221001101 its reverse (101100122010011), we get a palindrome (211110343011112).

The spelling of 110010221001101 in words is "one hundred ten trillion, ten billion, two hundred twenty-one million, one thousand, one hundred one".