102221012002033 has 16 divisors (see below), whose sum is σ = 108561053597760. Its totient is φ = 96125267025216.

The previous prime is 102221012002027. The next prime is 102221012002079. The reversal of 102221012002033 is 330200210122201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102221012002033 is a prime.

It is a super-2 number, since 2×102221012002033² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102221012002033.

It is not an unprimeable number, because it can be changed into a prime (102221012000033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388875943 + ... + 389138716.

It is an arithmetic number, because the mean of its divisors is an integer number (6785065849860).

Almost surely, 2^{102221012002033} is an apocalyptic number.

It is an amenable number.

102221012002033 is a deficient number, since it is larger than the sum of its proper divisors (6340041595727).

102221012002033 is an equidigital number, since it uses as much as digits as its factorization.

102221012002033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778014816.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 102221012002033 its reverse (330200210122201), we get a palindrome (432421222124234).

The spelling of 102221012002033 in words is "one hundred two trillion, two hundred twenty-one billion, twelve million, two thousand, thirty-three".