10113111010201 has 16 divisors (see below), whose sum is σ = 11077677450000. Its totient is φ = 9189645703168.

The previous prime is 10113111010181. The next prime is 10113111010207. The reversal of 10113111010201 is 10201011131101.

It can be written as a sum of positive squares in 8 ways, for example, as 3028591881225 + 7084519128976 = 1740285^2 + 2661676^2 .

It is not a de Polignac number, because 10113111010201 - 2¹⁵ = 10113110977433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10113111010207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12550011 + ... + 13331503.

It is an arithmetic number, because the mean of its divisors is an integer number (692354840625).

Almost surely, 2^{10113111010201} is an apocalyptic number.

It is an amenable number.

10113111010201 is a deficient number, since it is larger than the sum of its proper divisors (964566439799).

10113111010201 is a wasteful number, since it uses less digits than its factorization.

10113111010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807788.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 10113111010201 its reverse (10201011131101), we get a palindrome (20314122141302).

The spelling of 10113111010201 in words is "ten trillion, one hundred thirteen billion, one hundred eleven million, ten thousand, two hundred one".