110001000010021 has 16 divisors (see below), whose sum is σ = 116860953858480. Its totient is φ = 103184755752960.

The previous prime is 110001000010001. The next prime is 110001000010129. The reversal of 110001000010021 is 120010000100011.

It can be written as a sum of positive squares in 8 ways, for example, as 21219943593121 + 88781056416900 = 4606511^2 + 9422370^2 .

It is not a de Polignac number, because 110001000010021 - 2¹⁹ = 110000999485733 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110001000009986 and 110001000010013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001000010001) 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, 684741 + ... + 14848261.

It is an arithmetic number, because the mean of its divisors is an integer number (7303809616155).

Almost surely, 2^{110001000010021} is an apocalyptic number.

It is an amenable number.

110001000010021 is a deficient number, since it is larger than the sum of its proper divisors (6859953848459).

110001000010021 is a wasteful number, since it uses less digits than its factorization.

110001000010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14165064.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 110001000010021 its reverse (120010000100011), we get a palindrome (230011000110032).

The spelling of 110001000010021 in words is "one hundred ten trillion, one billion, ten thousand, twenty-one".