10120221122123 has 32 divisors (see below), whose sum is σ = 11759778201600. Its totient is φ = 8530021876896.

The previous prime is 10120221122111. The next prime is 10120221122129. The reversal of 10120221122123 is 32122112202101.

10120221122123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10120221122123 - 2⁸ = 10120221121867 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10120221122095 and 10120221122104.

It is not an unprimeable number, because it can be changed into a prime (10120221122129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 998142788 + ... + 998152926.

It is an arithmetic number, because the mean of its divisors is an integer number (367493068800).

Almost surely, 2^{10120221122123} is an apocalyptic number.

10120221122123 is a deficient number, since it is larger than the sum of its proper divisors (1639557079477).

10120221122123 is a wasteful number, since it uses less digits than its factorization.

10120221122123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17351.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10120221122123 its reverse (32122112202101), we get a palindrome (42242333324224).

The spelling of 10120221122123 in words is "ten trillion, one hundred twenty billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-three".