101202101202001 has 8 divisors (see below), whose sum is σ = 101297864226024. Its totient is φ = 101106369611520.

The previous prime is 101202101201933. The next prime is 101202101202017. The reversal of 101202101202001 is 100202101202101.

It can be written as a sum of positive squares in 4 ways, for example, as 11407506250000 + 89794594952001 = 3377500^2 + 9476001^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 101202101202001 - 2⁹ = 101202101201489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101202101200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1413726 + ... + 14296951.

It is an arithmetic number, because the mean of its divisors is an integer number (12662233028253).

Almost surely, 2^{101202101202001} is an apocalyptic number.

It is an amenable number.

101202101202001 is a deficient number, since it is larger than the sum of its proper divisors (95763024023).

101202101202001 is a wasteful number, since it uses less digits than its factorization.

101202101202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15716771.

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

Adding to 101202101202001 its reverse (100202101202101), we get a palindrome (201404202404102).

The spelling of 101202101202001 in words is "one hundred one trillion, two hundred two billion, one hundred one million, two hundred two thousand, one".