102202101200001 has 16 divisors (see below), whose sum is σ = 148844123241408. Its totient is φ = 61862950104000.

The previous prime is 102202101199999. The next prime is 102202101200057. The reversal of 102202101200001 is 100002101202201.

It is not a de Polignac number, because 102202101200001 - 2¹ = 102202101199999 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102202101200001.

It is not an unprimeable number, because it can be changed into a prime (102202101200701) 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 15 ways as a sum of consecutive naturals, for example, 1942905550 + ... + 1942958151.

It is an arithmetic number, because the mean of its divisors is an integer number (9302757702588).

Almost surely, 2^{102202101200001} is an apocalyptic number.

102202101200001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102202101200001 is a deficient number, since it is larger than the sum of its proper divisors (46642022041407).

102202101200001 is a wasteful number, since it uses less digits than its factorization.

102202101200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885864512.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102202101200001 its reverse (100002101202201), we get a palindrome (202204202402202).

The spelling of 102202101200001 in words is "one hundred two trillion, two hundred two billion, one hundred one million, two hundred thousand, one".