110201101021 has 24 divisors (see below), whose sum is σ = 123607075032. Its totient is φ = 98140099200.

The previous prime is 110201101007. The next prime is 110201101033. The reversal of 110201101021 is 120101102011.

It can be written as a sum of positive squares in 4 ways, for example, as 19531460025 + 90669640996 = 139755^2 + 301114^2 .

It is not a de Polignac number, because 110201101021 - 2²¹ = 110199003869 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110201100989 and 110201101007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110201101061) 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 23 ways as a sum of consecutive naturals, for example, 4225995 + ... + 4251991.

It is an arithmetic number, because the mean of its divisors is an integer number (5150294793).

Almost surely, 2^110201101021 is an apocalyptic number.

110201101021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110201101021 is a deficient number, since it is larger than the sum of its proper divisors (13405974011).

110201101021 is a wasteful number, since it uses less digits than its factorization.

110201101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26733 (or 26722 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110201101021 its reverse (120101102011), we get a palindrome (230302203032).

The spelling of 110201101021 in words is "one hundred ten billion, two hundred one million, one hundred one thousand, twenty-one".