10112101122121 has 8 divisors (see below), whose sum is σ = 10892136973824. Its totient is φ = 9360430210560.

The previous prime is 10112101122091. The next prime is 10112101122131. The reversal of 10112101122121 is 12122110121101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10112101122121 - 2¹⁷ = 10112100991049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10112101122095 and 10112101122104.

It is not an unprimeable number, because it can be changed into a prime (10112101122131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7091234296 + ... + 7091235721.

It is an arithmetic number, because the mean of its divisors is an integer number (1361517121728).

Almost surely, 2^{10112101122121} is an apocalyptic number.

It is an amenable number.

10112101122121 is a deficient number, since it is larger than the sum of its proper divisors (780035851703).

10112101122121 is a wasteful number, since it uses less digits than its factorization.

10112101122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14182470071.

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

Adding to 10112101122121 its reverse (12122110121101), we get a palindrome (22234211243222).

The spelling of 10112101122121 in words is "ten trillion, one hundred twelve billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty-one".