10100222002121 has 4 divisors (see below), whose sum is σ = 10100235873744. Its totient is φ = 10100208130500.

The previous prime is 10100222001997. The next prime is 10100222002151. The reversal of 10100222002121 is 12120022200101.

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 not a de Polignac number, because 10100222002121 - 2³⁴ = 10083042132937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100222002096 and 10100222002105.

It is not an unprimeable number, because it can be changed into a prime (10100222002151) 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, 5779355 + ... + 7321296.

It is an arithmetic number, because the mean of its divisors is an integer number (2525058968436).

Almost surely, 2^{10100222002121} is an apocalyptic number.

It is an amenable number.

10100222002121 is a deficient number, since it is larger than the sum of its proper divisors (13871623).

10100222002121 is an equidigital number, since it uses as much as digits as its factorization.

10100222002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13871622.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10100222002121 its reverse (12120022200101), we get a palindrome (22220244202222).

The spelling of 10100222002121 in words is "ten trillion, one hundred billion, two hundred twenty-two million, two thousand, one hundred twenty-one".