101110122122101 has 4 divisors (see below), whose sum is σ = 101110857247872. Its totient is φ = 101109386996332.

The previous prime is 101110122122081. The next prime is 101110122122111. The reversal of 101110122122101 is 101221221011101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101110122122101 - 2¹³ = 101110122113909 is a prime.

It is a super-3 number, since 3×101110122122101³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110122122111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 367356535 + ... + 367631668.

It is an arithmetic number, because the mean of its divisors is an integer number (25277714311968).

Almost surely, 2^{101110122122101} is an apocalyptic number.

It is an amenable number.

101110122122101 is a deficient number, since it is larger than the sum of its proper divisors (735125771).

101110122122101 is an equidigital number, since it uses as much as digits as its factorization.

101110122122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735125770.

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

Adding to 101110122122101 its reverse (101221221011101), we get a palindrome (202331343133202).

The spelling of 101110122122101 in words is "one hundred one trillion, one hundred ten billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred one".