10122120002122 has 16 divisors (see below), whose sum is σ = 15474182941800. Its totient is φ = 4964978462400.

The previous prime is 10122120002117. The next prime is 10122120002191. The reversal of 10122120002122 is 22120002122101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9245254441201 + 876865560921 = 3040601^2 + 936411^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10122120002096 and 10122120002105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229838097 + ... + 229882132.

Almost surely, 2^{10122120002122} is an apocalyptic number.

10122120002122 is a deficient number, since it is larger than the sum of its proper divisors (5352062939678).

10122120002122 is a wasteful number, since it uses less digits than its factorization.

10122120002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459720441.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10122120002122 its reverse (22120002122101), we get a palindrome (32242122124223).

It can be divided in two parts, 101 and 22120002122, that multiplied together give a palindrome (2234120214322).

The spelling of 10122120002122 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty million, two thousand, one hundred twenty-two".