10102002213331 has 8 divisors (see below), whose sum is σ = 11545903710720. Its totient is φ = 8658290296968.

The previous prime is 10102002213311. The next prime is 10102002213343. The reversal of 10102002213331 is 13331220020101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10102002213331 - 2³⁵ = 10067642474963 is a prime.

It is a super-2 number, since 2×10102002213331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102002213299 and 10102002213308.

It is not an unprimeable number, because it can be changed into a prime (10102002213301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47281051 + ... + 47494228.

It is an arithmetic number, because the mean of its divisors is an integer number (1443237963840).

Almost surely, 2^{10102002213331} is an apocalyptic number.

10102002213331 is a deficient number, since it is larger than the sum of its proper divisors (1443901497389).

10102002213331 is an equidigital number, since it uses as much as digits as its factorization.

10102002213331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94790513.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10102002213331 its reverse (13331220020101), we get a palindrome (23433222233432).

The spelling of 10102002213331 in words is "ten trillion, one hundred two billion, two million, two hundred thirteen thousand, three hundred thirty-one".