10201111110201 has 16 divisors (see below), whose sum is σ = 14984890492608. Its totient is φ = 6121278792000.

The previous prime is 10201111110163. The next prime is 10201111110209.

10201111110201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10201111110201 - 2¹³ = 10201111102009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10201111110209) 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, 1530316366 + ... + 1530323031.

It is an arithmetic number, because the mean of its divisors is an integer number (936555655788).

Almost surely, 2^{10201111110201} is an apocalyptic number.

10201111110201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10201111110201 is a deficient number, since it is larger than the sum of its proper divisors (4783779382407).

10201111110201 is a wasteful number, since it uses less digits than its factorization.

10201111110201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060639512.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 1020111 and 1110201, that multiplied together give a palindrome (1132528252311).

The spelling of 10201111110201 in words is "ten trillion, two hundred one billion, one hundred eleven million, one hundred ten thousand, two hundred one".