100110211000021 has 8 divisors (see below), whose sum is σ = 101103197229144. Its totient is φ = 99117259987200.

The previous prime is 100110211000013. The next prime is 100110211000057. The reversal of 100110211000021 is 120000112011001.

It can be written as a sum of positive squares in 4 ways, for example, as 56494555233796 + 43615655766225 = 7516286^2 + 6604215^2 .

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 100110211000021 - 2³ = 100110211000013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100110210999971 and 100110211000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110211000081) 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, 3072016 + ... + 14479561.

It is an arithmetic number, because the mean of its divisors is an integer number (12637899653643).

Almost surely, 2^{100110211000021} is an apocalyptic number.

It is an amenable number.

100110211000021 is a deficient number, since it is larger than the sum of its proper divisors (992986229123).

100110211000021 is a wasteful number, since it uses less digits than its factorization.

100110211000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17608151.

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

Adding to 100110211000021 its reverse (120000112011001), we get a palindrome (220110323011022).

The spelling of 100110211000021 in words is "one hundred trillion, one hundred ten billion, two hundred eleven million, twenty-one", and thus it is an aban number.