10122101121121 has 8 divisors (see below), whose sum is σ = 11042318183904. Its totient is φ = 9201888400320.

The previous prime is 10122101121023. The next prime is 10122101121239. The reversal of 10122101121121 is 12112110122101.

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

It is not a de Polignac number, because 10122101121121 - 2¹⁵ = 10122101088353 is a prime.

It is a super-2 number, since 2×10122101121121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10122101121095 and 10122101121104.

It is not an unprimeable number, because it can be changed into a prime (10122101122121) 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, 5555266 + ... + 7148788.

It is an arithmetic number, because the mean of its divisors is an integer number (1380289772988).

Almost surely, 2^{10122101121121} is an apocalyptic number.

10122101121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122101121121 is a deficient number, since it is larger than the sum of its proper divisors (920217062783).

10122101121121 is a wasteful number, since it uses less digits than its factorization.

10122101121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170991.

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

Adding to 10122101121121 its reverse (12112110122101), we get a palindrome (22234211243222).

It can be divided in two parts, 10122101 and 121121, that multiplied together give a palindrome (1225998995221).

The spelling of 10122101121121 in words is "ten trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty-one".