10201112110101 has 32 divisors (see below), whose sum is σ = 14986584792576. Its totient is φ = 6120587880000.

The previous prime is 10201112110039. The next prime is 10201112110121. The reversal of 10201112110101 is 10101121110201.

It is not a de Polignac number, because 10201112110101 - 2¹⁵ = 10201112077333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201112110121) 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, 30131970 + ... + 30468636.

It is an arithmetic number, because the mean of its divisors is an integer number (468330774768).

Almost surely, 2^{10201112110101} is an apocalyptic number.

10201112110101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10201112110101 is a deficient number, since it is larger than the sum of its proper divisors (4785472682475).

10201112110101 is a wasteful number, since it uses less digits than its factorization.

10201112110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345873.

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

Adding to 10201112110101 its reverse (10101121110201), we get a palindrome (20302233220302).

The spelling of 10201112110101 in words is "ten trillion, two hundred one billion, one hundred twelve million, one hundred ten thousand, one hundred one".