10021121100221 has 16 divisors (see below), whose sum is σ = 12494215938048. Its totient is φ = 7808446623600.

The previous prime is 10021121100217. The next prime is 10021121100227. The reversal of 10021121100221 is 12200112112001.

It is not a de Polignac number, because 10021121100221 - 2² = 10021121100217 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 = 10021121100196 and 10021121100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021121100227) 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, 962276 + ... + 4579106.

It is an arithmetic number, because the mean of its divisors is an integer number (780888496128).

Almost surely, 2^{10021121100221} is an apocalyptic number.

10021121100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021121100221 is a deficient number, since it is larger than the sum of its proper divisors (2473094837827).

10021121100221 is a wasteful number, since it uses less digits than its factorization.

10021121100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3652832.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10021121100221 its reverse (12200112112001), we get a palindrome (22221233212222).

The spelling of 10021121100221 in words is "ten trillion, twenty-one billion, one hundred twenty-one million, one hundred thousand, two hundred twenty-one".