10122122111101 has 64 divisors (see below), whose sum is σ = 13767366445056. Its totient is φ = 7186086662400.

The previous prime is 10122122111083. The next prime is 10122122111113. The reversal of 10122122111101 is 10111122122101.

It is a cyclic number.

It is not a de Polignac number, because 10122122111101 - 2²⁷ = 10121987893373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122122111701) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88093650 + ... + 88208476.

It is an arithmetic number, because the mean of its divisors is an integer number (215115100704).

Almost surely, 2^{10122122111101} is an apocalyptic number.

10122122111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122122111101 is a deficient number, since it is larger than the sum of its proper divisors (3645244333955).

10122122111101 is a wasteful number, since it uses less digits than its factorization.

10122122111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116002.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 10122122111101 its reverse (10111122122101), we get a palindrome (20233244233202).

The spelling of 10122122111101 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred eleven thousand, one hundred one".