10122001111101 has 64 divisors (see below), whose sum is σ = 14981726822400. Its totient is φ = 6027329817600.

The previous prime is 10122001111081. The next prime is 10122001111127. The reversal of 10122001111101 is 10111110022101.

It is not a de Polignac number, because 10122001111101 - 2¹⁰ = 10122001110077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122001111171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1209459445 + ... + 1209467813.

It is an arithmetic number, because the mean of its divisors is an integer number (234089481600).

Almost surely, 2^{10122001111101} is an apocalyptic number.

10122001111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122001111101 is a deficient number, since it is larger than the sum of its proper divisors (4859725711299).

10122001111101 is a wasteful number, since it uses less digits than its factorization.

10122001111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10170.

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

Adding to 10122001111101 its reverse (10111110022101), we get a palindrome (20233111133202).

The spelling of 10122001111101 in words is "ten trillion, one hundred twenty-two billion, one million, one hundred eleven thousand, one hundred one".