110101102000021 has 32 divisors (see below), whose sum is σ = 122381722354176. Its totient is φ = 98207230464000.

The previous prime is 110101101999991. The next prime is 110101102000037. The reversal of 110101102000021 is 120000201101011.

It is a cyclic number.

It is not a de Polignac number, because 110101102000021 - 2⁷ = 110101101999893 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110101101999971 and 110101102000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101102000061) 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 31 ways as a sum of consecutive naturals, for example, 5165902261 + ... + 5165923573.

It is an arithmetic number, because the mean of its divisors is an integer number (3824428823568).

Almost surely, 2^{110101102000021} is an apocalyptic number.

110101102000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110101102000021 is a deficient number, since it is larger than the sum of its proper divisors (12280620354155).

110101102000021 is a wasteful number, since it uses less digits than its factorization.

110101102000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40093.

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

Adding to 110101102000021 its reverse (120000201101011), we get a palindrome (230101303101032).

The spelling of 110101102000021 in words is "one hundred ten trillion, one hundred one billion, one hundred two million, twenty-one", and thus it is an aban number.