10201001113101 has 16 divisors (see below), whose sum is σ = 13606539105600. Its totient is φ = 6798065543808.

The previous prime is 10201001113097. The next prime is 10201001113133. The reversal of 10201001113101 is 10131110010201.

It is not a de Polignac number, because 10201001113101 - 2² = 10201001113097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201001113141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271667410 + ... + 271704956.

It is an arithmetic number, because the mean of its divisors is an integer number (850408694100).

Almost surely, 2^{10201001113101} is an apocalyptic number.

It is an amenable number.

10201001113101 is a deficient number, since it is larger than the sum of its proper divisors (3405537992499).

10201001113101 is a wasteful number, since it uses less digits than its factorization.

10201001113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69788.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 10201001113101 its reverse (10131110010201), we get a palindrome (20332111123302).

The spelling of 10201001113101 in words is "ten trillion, two hundred one billion, one million, one hundred thirteen thousand, one hundred one".