10022100211121 has 4 divisors (see below), whose sum is σ = 10028786070000. Its totient is φ = 10015414352244.

The previous prime is 10022100211117. The next prime is 10022100211133. The reversal of 10022100211121 is 12111200122001.

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 10022100211121 - 2² = 10022100211117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10022100211096 and 10022100211105.

It is not an unprimeable number, because it can be changed into a prime (10022100211621) 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 3 ways as a sum of consecutive naturals, for example, 3342927191 + ... + 3342930188.

It is an arithmetic number, because the mean of its divisors is an integer number (2507196517500).

Almost surely, 2^{10022100211121} is an apocalyptic number.

It is an amenable number.

10022100211121 is a deficient number, since it is larger than the sum of its proper divisors (6685858879).

10022100211121 is an equidigital number, since it uses as much as digits as its factorization.

10022100211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6685858878.

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

Adding to 10022100211121 its reverse (12111200122001), we get a palindrome (22133300333122).

The spelling of 10022100211121 in words is "ten trillion, twenty-two billion, one hundred million, two hundred eleven thousand, one hundred twenty-one".