10100221102121 has 4 divisors (see below), whose sum is σ = 10167109983744. Its totient is φ = 10033332220500.

The previous prime is 10100221102063. The next prime is 10100221102123. The reversal of 10100221102121 is 12120112200101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100221102121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100221102096 and 10100221102105.

It is not an unprimeable number, because it can be changed into a prime (10100221102123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33444440585 + ... + 33444440886.

It is an arithmetic number, because the mean of its divisors is an integer number (2541777495936).

Almost surely, 2^{10100221102121} is an apocalyptic number.

It is an amenable number.

10100221102121 is a deficient number, since it is larger than the sum of its proper divisors (66888881623).

10100221102121 is an equidigital number, since it uses as much as digits as its factorization.

10100221102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66888881622.

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

Adding to 10100221102121 its reverse (12120112200101), we get a palindrome (22220333302222).

The spelling of 10100221102121 in words is "ten trillion, one hundred billion, two hundred twenty-one million, one hundred two thousand, one hundred twenty-one".