102200220133033 has 64 divisors (see below), whose sum is σ = 119022349708800. Its totient is φ = 86842777190400.

The previous prime is 102200220133001. The next prime is 102200220133051. The reversal of 102200220133033 is 330331022002201.

It is not a de Polignac number, because 102200220133033 - 2⁵ = 102200220133001 is a prime.

It is a super-3 number, since 3×102200220133033³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102200220132995 and 102200220133013.

It is not an unprimeable number, because it can be changed into a prime (102200220133093) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6363245823 + ... + 6363261883.

It is an arithmetic number, because the mean of its divisors is an integer number (1859724214200).

Almost surely, 2^{102200220133033} is an apocalyptic number.

It is an amenable number.

102200220133033 is a deficient number, since it is larger than the sum of its proper divisors (16822129575767).

102200220133033 is a wasteful number, since it uses less digits than its factorization.

102200220133033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19330.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 102200220133033 its reverse (330331022002201), we get a palindrome (432531242135234).

The spelling of 102200220133033 in words is "one hundred two trillion, two hundred billion, two hundred twenty million, one hundred thirty-three thousand, thirty-three".