101110010000021 has 8 divisors (see below), whose sum is σ = 111393926409888. Its totient is φ = 91008109810000.

The previous prime is 101110010000011. The next prime is 101110010000033. The reversal of 101110010000021 is 120000010011101.

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 a de Polignac number, because none of the positive numbers 2^k-101110010000021 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 = 101110009999963 and 101110010000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110010000011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45504053795 + ... + 45504056016.

It is an arithmetic number, because the mean of its divisors is an integer number (13924240801236).

Almost surely, 2^{101110010000021} is an apocalyptic number.

101110010000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101110010000021 is a deficient number, since it is larger than the sum of its proper divisors (10283916409867).

101110010000021 is a wasteful number, since it uses less digits than its factorization.

101110010000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91008109923.

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

Adding to 101110010000021 its reverse (120000010011101), we get a palindrome (221110020011122).

The spelling of 101110010000021 in words is "one hundred one trillion, one hundred ten billion, ten million, twenty-one", and thus it is an aban number.