102222200200133 has 64 divisors (see below), whose sum is σ = 121729928544000. Its totient is φ = 84976212271104.

The previous prime is 102222200200123. The next prime is 102222200200157. The reversal of 102222200200133 is 331002002222201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102222200200133 - 2⁶ = 102222200200069 is a prime.

It is a super-2 number, since 2×102222200200133² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222200200123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 906514391 + ... + 906627147.

It is an arithmetic number, because the mean of its divisors is an integer number (1902030133500).

Almost surely, 2^{102222200200133} is an apocalyptic number.

102222200200133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102222200200133 is a deficient number, since it is larger than the sum of its proper divisors (19507728343867).

102222200200133 is a wasteful number, since it uses less digits than its factorization.

102222200200133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114774.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102222200200133 its reverse (331002002222201), we get a palindrome (433224202422334).

The spelling of 102222200200133 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred million, two hundred thousand, one hundred thirty-three".