10122210121021 has 16 divisors (see below), whose sum is σ = 10327653085680. Its totient is φ = 9918824509440.

The previous prime is 10122210120959. The next prime is 10122210121027. The reversal of 10122210121021 is 12012101222101.

10122210121021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2673601063225 + 7448609057796 = 1635115^2 + 2729214^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122210121021 - 2¹³ = 10122210112829 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10122210120986 and 10122210121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122210121027) 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, 101455441 + ... + 101555161.

It is an arithmetic number, because the mean of its divisors is an integer number (645478317855).

Almost surely, 2^{10122210121021} is an apocalyptic number.

It is an amenable number.

10122210121021 is a deficient number, since it is larger than the sum of its proper divisors (205442964659).

10122210121021 is a wasteful number, since it uses less digits than its factorization.

10122210121021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110016.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10122210121021 its reverse (12012101222101), we get a palindrome (22134311343122).

The spelling of 10122210121021 in words is "ten trillion, one hundred twenty-two billion, two hundred ten million, one hundred twenty-one thousand, twenty-one".