110001011000021 has 8 divisors (see below), whose sum is σ = 110159012364288. Its totient is φ = 109843044948000.

The previous prime is 110001010999981. The next prime is 110001011000129. The reversal of 110001011000021 is 120000110100011.

It is a happy number.

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 110001011000021 - 2¹⁴ = 110001010983637 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 110001010999972 and 110001011000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001011002021) 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, 2590235 + ... + 15056936.

It is an arithmetic number, because the mean of its divisors is an integer number (13769876545536).

Almost surely, 2^{110001011000021} is an apocalyptic number.

It is an amenable number.

110001011000021 is a deficient number, since it is larger than the sum of its proper divisors (158001364267).

110001011000021 is an equidigital number, since it uses as much as digits as its factorization.

110001011000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17656123.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110001011000021 its reverse (120000110100011), we get a palindrome (230001121100032).

The spelling of 110001011000021 in words is "one hundred ten trillion, one billion, eleven million, twenty-one", and thus it is an aban number.