10122120101123 has 16 divisors (see below), whose sum is σ = 10671872313600. Its totient is φ = 9574072953120.

The previous prime is 10122120101111. The next prime is 10122120101131. The reversal of 10122120101123 is 32110102122101.

It is a happy number.

It is not a de Polignac number, because 10122120101123 - 2¹⁸ = 10122119838979 is a prime.

It is a super-2 number, since 2×10122120101123² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122120101623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93936665 + ... + 94044357.

It is an arithmetic number, because the mean of its divisors is an integer number (666992019600).

Almost surely, 2^{10122120101123} is an apocalyptic number.

10122120101123 is a deficient number, since it is larger than the sum of its proper divisors (549752212477).

10122120101123 is a wasteful number, since it uses less digits than its factorization.

10122120101123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115562.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10122120101123 its reverse (32110102122101), we get a palindrome (42232222223224).

The spelling of 10122120101123 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty million, one hundred one thousand, one hundred twenty-three".