1201020211121 has 16 divisors (see below), whose sum is σ = 1371247133760. Its totient is φ = 1044759697920.

The previous prime is 1201020211109. The next prime is 1201020211133. The reversal of 1201020211121 is 1211120201021.

It is an interprime number because it is at equal distance from previous prime (1201020211109) and next prime (1201020211133).

It is a cyclic number.

It is not a de Polignac number, because 1201020211121 - 2²² = 1201016016817 is a prime.

It is a super-2 number, since 2×1201020211121² (a number of 25 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 = 1201020211096 and 1201020211105.

It is not an unprimeable number, because it can be changed into a prime (1201020211141) 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 15 ways as a sum of consecutive naturals, for example, 45332231 + ... + 45358716.

It is an arithmetic number, because the mean of its divisors is an integer number (85702945860).

Almost surely, 2^{1201020211121} is an apocalyptic number.

It is an amenable number.

1201020211121 is a deficient number, since it is larger than the sum of its proper divisors (170226922639).

1201020211121 is a wasteful number, since it uses less digits than its factorization.

1201020211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90691024.

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

Adding to 1201020211121 its reverse (1211120201021), we get a palindrome (2412140412142).

It can be divided in two parts, 1201020 and 211121, that added together give a palindrome (1412141).

The spelling of 1201020211121 in words is "one trillion, two hundred one billion, twenty million, two hundred eleven thousand, one hundred twenty-one".