101112110121 has 32 divisors (see below), whose sum is σ = 151080628608. Its totient is φ = 59610608640.

The previous prime is 101112110119. The next prime is 101112110131. The reversal of 101112110121 is 121011211101.

It is not a de Polignac number, because 101112110121 - 2¹ = 101112110119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101112110097 and 101112110106.

It is not an unprimeable number, because it can be changed into a prime (101112110131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9612561 + ... + 9623073.

It is an arithmetic number, because the mean of its divisors is an integer number (4721269644).

Almost surely, 2^101112110121 is an apocalyptic number.

101112110121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101112110121 is a deficient number, since it is larger than the sum of its proper divisors (49968518487).

101112110121 is a wasteful number, since it uses less digits than its factorization.

101112110121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18441.

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

Adding to 101112110121 its reverse (121011211101), we get a palindrome (222123321222).

The spelling of 101112110121 in words is "one hundred one billion, one hundred twelve million, one hundred ten thousand, one hundred twenty-one".