10201121100111 has 32 divisors (see below), whose sum is σ = 13973400403200. Its totient is φ = 6617192716800.

The previous prime is 10201121100101. The next prime is 10201121100167. The reversal of 10201121100111 is 11100112110201.

It is not a de Polignac number, because 10201121100111 - 2⁶ = 10201121100047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201121100101) 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 31 ways as a sum of consecutive naturals, for example, 57421620 + ... + 57598998.

It is an arithmetic number, because the mean of its divisors is an integer number (436668762600).

Almost surely, 2^{10201121100111} is an apocalyptic number.

10201121100111 is a deficient number, since it is larger than the sum of its proper divisors (3772279303089).

10201121100111 is a wasteful number, since it uses less digits than its factorization.

10201121100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180759.

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

Adding to 10201121100111 its reverse (11100112110201), we get a palindrome (21301233210312).

The spelling of 10201121100111 in words is "ten trillion, two hundred one billion, one hundred twenty-one million, one hundred thousand, one hundred eleven".