101333221222233 has 256 divisors, whose sum is σ = 186900574371840. Its totient is φ = 47128681267200.

The previous prime is 101333221222213. The next prime is 101333221222253. The reversal of 101333221222233 is 332222122333101.

It is an interprime number because it is at equal distance from previous prime (101333221222213) and next prime (101333221222253).

It is not a de Polignac number, because 101333221222233 - 2⁹ = 101333221221721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101333221222233.

It is not an unprimeable number, because it can be changed into a prime (101333221222213) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 79228475688 + ... + 79228476966.

It is an arithmetic number, because the mean of its divisors is an integer number (730080368640).

Almost surely, 2^{101333221222233} is an apocalyptic number.

101333221222233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101333221222233 is a deficient number, since it is larger than the sum of its proper divisors (85567353149607).

101333221222233 is a wasteful number, since it uses less digits than its factorization.

101333221222233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 101333221222233 its reverse (332222122333101), we get a palindrome (433555343555334).

The spelling of 101333221222233 in words is "one hundred one trillion, three hundred thirty-three billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred thirty-three".