10010222120101 has 24 divisors (see below), whose sum is σ = 12020481388800. Its totient is φ = 8303198097600.

The previous prime is 10010222120047. The next prime is 10010222120183. The reversal of 10010222120101 is 10102122201001.

It is not a de Polignac number, because 10010222120101 - 2⁷ = 10010222119973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010222120191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94275321 + ... + 94381441.

It is an arithmetic number, because the mean of its divisors is an integer number (500853391200).

Almost surely, 2^{10010222120101} is an apocalyptic number.

It is an amenable number.

10010222120101 is a deficient number, since it is larger than the sum of its proper divisors (2010259268699).

10010222120101 is a wasteful number, since it uses less digits than its factorization.

10010222120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168265 (or 168258 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10010222120101 its reverse (10102122201001), we get a palindrome (20112344321102).

The spelling of 10010222120101 in words is "ten trillion, ten billion, two hundred twenty-two million, one hundred twenty thousand, one hundred one".