10210020211121 has 32 divisors (see below), whose sum is σ = 10542972960000. Its totient is φ = 9883630777600.

The previous prime is 10210020211103. The next prime is 10210020211133. The reversal of 10210020211121 is 12111202001201.

It is a cyclic number.

It is not a de Polignac number, because 10210020211121 - 2⁶ = 10210020211057 is a prime.

It is a super-2 number, since 2×10210020211121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10210020211096 and 10210020211105.

It is not an unprimeable number, because it can be changed into a prime (10210023211121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 832174175 + ... + 832186443.

It is an arithmetic number, because the mean of its divisors is an integer number (329467905000).

Almost surely, 2^{10210020211121} is an apocalyptic number.

It is an amenable number.

10210020211121 is a deficient number, since it is larger than the sum of its proper divisors (332952748879).

10210020211121 is a wasteful number, since it uses less digits than its factorization.

10210020211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13177.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10210020211121 its reverse (12111202001201), we get a palindrome (22321222212322).

The spelling of 10210020211121 in words is "ten trillion, two hundred ten billion, twenty million, two hundred eleven thousand, one hundred twenty-one".