102001100212001 has 8 divisors (see below), whose sum is σ = 108015240549384. Its totient is φ = 95988523832320.

The previous prime is 102001100211979. The next prime is 102001100212093. The reversal of 102001100212001 is 100212001100201.

It can be written as a sum of positive squares in 4 ways, for example, as 64379376552976 + 37621723659025 = 8023676^2 + 6133655^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102001100212001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102001100212201) 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, 390855140 + ... + 391116021.

It is an arithmetic number, because the mean of its divisors is an integer number (13501905068673).

Almost surely, 2^{102001100212001} is an apocalyptic number.

It is an amenable number.

102001100212001 is a deficient number, since it is larger than the sum of its proper divisors (6014140337383).

102001100212001 is an equidigital number, since it uses as much as digits as its factorization.

102001100212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781978851.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102001100212001 its reverse (100212001100201), we get a palindrome (202213101312202).

The spelling of 102001100212001 in words is "one hundred two trillion, one billion, one hundred million, two hundred twelve thousand, one".