10122112112121 has 12 divisors (see below), whose sum is σ = 14627031788772. Its totient is φ = 6745211734176.

The previous prime is 10122112112093. The next prime is 10122112112131. The reversal of 10122112112121 is 12121121122101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3840772924521 + 6281339187600 = 1959789^2 + 2506260^2 .

It is not a de Polignac number, because 10122112112121 - 2⁵ = 10122112112089 is a prime.

It is a super-2 number, since 2×10122112112121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10122112112094 and 10122112112103.

It is not an unprimeable number, because it can be changed into a prime (10122112112131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238561546 + ... + 238603971.

It is an arithmetic number, because the mean of its divisors is an integer number (1218919315731).

Almost surely, 2^{10122112112121} is an apocalyptic number.

It is an amenable number.

10122112112121 is a deficient number, since it is larger than the sum of its proper divisors (4504919676651).

10122112112121 is a wasteful number, since it uses less digits than its factorization.

10122112112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477167880 (or 477167877 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10122112112121 its reverse (12121121122101), we get a palindrome (22243233234222).

The spelling of 10122112112121 in words is "ten trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty-one".