101101120011121 has 16 divisors (see below), whose sum is σ = 104881861244160. Its totient is φ = 97383083690880.

The previous prime is 101101120011109. The next prime is 101101120011149. The reversal of 101101120011121 is 121110021101101.

It is a cyclic number.

It is not a de Polignac number, because 101101120011121 - 2¹⁷ = 101101119880049 is a prime.

It is a super-2 number, since 2×101101120011121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101120051121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89003686 + ... + 90132448.

It is an arithmetic number, because the mean of its divisors is an integer number (6555116327760).

Almost surely, 2^{101101120011121} is an apocalyptic number.

It is an amenable number.

101101120011121 is a deficient number, since it is larger than the sum of its proper divisors (3780741233039).

101101120011121 is a wasteful number, since it uses less digits than its factorization.

101101120011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156536.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101101120011121 its reverse (121110021101101), we get a palindrome (222211141112222).

The spelling of 101101120011121 in words is "one hundred one trillion, one hundred one billion, one hundred twenty million, eleven thousand, one hundred twenty-one".