10100100110221 has 16 divisors (see below), whose sum is σ = 11051160120000. Its totient is φ = 9154524470400.

The previous prime is 10100100110201. The next prime is 10100100110237. The reversal of 10100100110221 is 12201100100101.

It is a cyclic number.

It is not a de Polignac number, because 10100100110221 - 2¹⁷ = 10100099979149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100100110198 and 10100100110207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100100110201) 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 15 ways as a sum of consecutive naturals, for example, 33483330 + ... + 33783628.

It is an arithmetic number, because the mean of its divisors is an integer number (690697507500).

Almost surely, 2^{10100100110221} is an apocalyptic number.

10100100110221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100100110221 is a deficient number, since it is larger than the sum of its proper divisors (951060009779).

10100100110221 is a wasteful number, since it uses less digits than its factorization.

10100100110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309420.

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

Adding to 10100100110221 its reverse (12201100100101), we get a palindrome (22301200210322).

The spelling of 10100100110221 in words is "ten trillion, one hundred billion, one hundred million, one hundred ten thousand, two hundred twenty-one".