101112011121 has 32 divisors (see below), whose sum is σ = 148633159680. Its totient is φ = 60630392000.

The previous prime is 101112011113. The next prime is 101112011123. The reversal of 101112011121 is 121110211101.

It is a cyclic number.

It is not a de Polignac number, because 101112011121 - 2³ = 101112011113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101112011097 and 101112011106.

It is not an unprimeable number, because it can be changed into a prime (101112011123) 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, 5066200 + ... + 5086118.

It is an arithmetic number, because the mean of its divisors is an integer number (4644786240).

Almost surely, 2^101112011121 is an apocalyptic number.

101112011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101112011121 is a deficient number, since it is larger than the sum of its proper divisors (47521148559).

101112011121 is a wasteful number, since it uses less digits than its factorization.

101112011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21557.

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

Adding to 101112011121 its reverse (121110211101), we get a palindrome (222222222222).

The spelling of 101112011121 in words is "one hundred one billion, one hundred twelve million, eleven thousand, one hundred twenty-one".