10211201121 has 16 divisors (see below), whose sum is σ = 14859311040. Its totient is φ = 6185833920.

The previous prime is 10211201111. The next prime is 10211201123. The reversal of 10211201121 is 12110211201.

It is not a de Polignac number, because 10211201121 - 2¹⁸ = 10210938977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10211201097 and 10211201106.

It is not an unprimeable number, because it can be changed into a prime (10211201123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6691 + ... + 143063.

It is an arithmetic number, because the mean of its divisors is an integer number (928706940).

Almost surely, 2^10211201121 is an apocalyptic number.

10211201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10211201121 is a deficient number, since it is larger than the sum of its proper divisors (4648109919).

10211201121 is a wasteful number, since it uses less digits than its factorization.

10211201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138656.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10211201121 its reverse (12110211201), we get a palindrome (22321412322).

It can be divided in two parts, 10211201 and 121, that multiplied together give a palindrome (1235555321).

The spelling of 10211201121 in words is "ten billion, two hundred eleven million, two hundred one thousand, one hundred twenty-one".