102202110012001 has 8 divisors (see below), whose sum is σ = 106087161395880. Its totient is φ = 98341114674432.

The previous prime is 102202110011951. The next prime is 102202110012007. The reversal of 102202110012001 is 100210011202201.

It can be written as a sum of positive squares in 4 ways, for example, as 43511173690000 + 58690936322001 = 6596300^2 + 7661001^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102202110012001 - 2²⁷ = 102201975794273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102202110012007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6014002920 + ... + 6014019913.

It is an arithmetic number, because the mean of its divisors is an integer number (13260895174485).

Almost surely, 2^{102202110012001} is an apocalyptic number.

It is an amenable number.

102202110012001 is a deficient number, since it is larger than the sum of its proper divisors (3885051383879).

102202110012001 is a wasteful number, since it uses less digits than its factorization.

102202110012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12028023155.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102202110012001 its reverse (100210011202201), we get a palindrome (202412121214202).

The spelling of 102202110012001 in words is "one hundred two trillion, two hundred two billion, one hundred ten million, twelve thousand, one".