102202233002001 has 32 divisors (see below), whose sum is σ = 170503562403840. Its totient is φ = 59942658646800.

The previous prime is 102202233001937. The next prime is 102202233002011. The reversal of 102202233002001 is 100200332202201.

102202233002001 is a `hidden beast` number, since 10 + 220 + 2 + 233 + 0 + 0 + 200 + 1 = 666.

It is not a de Polignac number, because 102202233002001 - 2⁶ = 102202233001937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102202233002011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5550236965 + ... + 5550255378.

It is an arithmetic number, because the mean of its divisors is an integer number (5328236325120).

Almost surely, 2^{102202233002001} is an apocalyptic number.

102202233002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102202233002001 is a deficient number, since it is larger than the sum of its proper divisors (68301329401839).

102202233002001 is a wasteful number, since it uses less digits than its factorization.

102202233002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100492394 (or 11100492388 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102202233002001 its reverse (100200332202201), we get a palindrome (202402565204202).

The spelling of 102202233002001 in words is "one hundred two trillion, two hundred two billion, two hundred thirty-three million, two thousand, one".