10002221121233 has 48 divisors (see below), whose sum is σ = 11489289805056. Its totient is φ = 8693451360000.

The previous prime is 10002221121173. The next prime is 10002221121239. The reversal of 10002221121233 is 33212112220001.

10002221121233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10002221121233 - 2³⁴ = 9985041252049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002221121239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81949310 + ... + 82071272.

It is an arithmetic number, because the mean of its divisors is an integer number (239360204272).

Almost surely, 2^{10002221121233} is an apocalyptic number.

It is an amenable number.

10002221121233 is a deficient number, since it is larger than the sum of its proper divisors (1487068683823).

10002221121233 is a wasteful number, since it uses less digits than its factorization.

10002221121233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122358 (or 122347 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10002221121233 its reverse (33212112220001), we get a palindrome (43214333341234).

The spelling of 10002221121233 in words is "ten trillion, two billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred thirty-three".