10120201211121 has 64 divisors (see below), whose sum is σ = 14117498035200. Its totient is φ = 6443418009600.

The previous prime is 10120201211069. The next prime is 10120201211123. The reversal of 10120201211121 is 12111210202101.

It is a happy number.

It is not a de Polignac number, because 10120201211121 - 2¹⁴ = 10120201194737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10120201211121.

It is not an unprimeable number, because it can be changed into a prime (10120201211123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1172808435 + ... + 1172817063.

It is an arithmetic number, because the mean of its divisors is an integer number (220585906800).

Almost surely, 2^{10120201211121} is an apocalyptic number.

It is an amenable number.

10120201211121 is a deficient number, since it is larger than the sum of its proper divisors (3997296824079).

10120201211121 is a wasteful number, since it uses less digits than its factorization.

10120201211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9770.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10120201211121 its reverse (12111210202101), we get a palindrome (22231411413222).

The spelling of 10120201211121 in words is "ten trillion, one hundred twenty billion, two hundred one million, two hundred eleven thousand, one hundred twenty-one".