102001100012101 has 8 divisors (see below), whose sum is σ = 103003381154520. Its totient is φ = 101000566528512.

The previous prime is 102001100012093. The next prime is 102001100012197. The reversal of 102001100012101 is 101210001100201.

It can be written as a sum of positive squares in 4 ways, for example, as 25361598160900 + 76639501851201 = 5036030^2 + 8754399^2 .

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 102001100012101 - 2³ = 102001100012093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001100012401) 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, 436797406 + ... + 437030863.

It is an arithmetic number, because the mean of its divisors is an integer number (12875422644315).

Almost surely, 2^{102001100012101} is an apocalyptic number.

It is an amenable number.

102001100012101 is a deficient number, since it is larger than the sum of its proper divisors (1002281142419).

102001100012101 is a wasteful number, since it uses less digits than its factorization.

102001100012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873829415.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102001100012101 its reverse (101210001100201), we get a palindrome (203211101112302).

The spelling of 102001100012101 in words is "one hundred two trillion, one billion, one hundred million, twelve thousand, one hundred one".