101110111001121 has 64 divisors (see below), whose sum is σ = 141160719974400. Its totient is φ = 64316279529216.

The previous prime is 101110111001087. The next prime is 101110111001131. The reversal of 101110111001121 is 121100111011101.

It is not a de Polignac number, because 101110111001121 - 2⁶ = 101110111001057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101110111001097 and 101110111001106.

It is not an unprimeable number, because it can be changed into a prime (101110111001131) 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, 1545828000 + ... + 1545893406.

It is an arithmetic number, because the mean of its divisors is an integer number (2205636249600).

Almost surely, 2^{101110111001121} is an apocalyptic number.

It is an amenable number.

101110111001121 is a deficient number, since it is larger than the sum of its proper divisors (40050608973279).

101110111001121 is a wasteful number, since it uses less digits than its factorization.

101110111001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66718.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 101110111001121 its reverse (121100111011101), we get a palindrome (222210222012222).

The spelling of 101110111001121 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, one thousand, one hundred twenty-one".