10201111020101 has 8 divisors (see below), whose sum is σ = 10552966913880. Its totient is φ = 9849261356032.

The previous prime is 10201111020077. The next prime is 10201111020103. The reversal of 10201111020101 is 10102011110201.

It can be written as a sum of positive squares in 4 ways, for example, as 11161711201 + 10189949308900 = 105649^2 + 3192170^2 .

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 10201111020101 - 2²² = 10201106825797 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201111020103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1904501 + ... + 4901973.

It is an arithmetic number, because the mean of its divisors is an integer number (1319120864235).

Almost surely, 2^{10201111020101} is an apocalyptic number.

It is an amenable number.

10201111020101 is a deficient number, since it is larger than the sum of its proper divisors (351855893779).

10201111020101 is a wasteful number, since it uses less digits than its factorization.

10201111020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114855.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10201111020101 its reverse (10102011110201), we get a palindrome (20303122130302).

The spelling of 10201111020101 in words is "ten trillion, two hundred one billion, one hundred eleven million, twenty thousand, one hundred one".