1011220121121 has 24 divisors (see below), whose sum is σ = 1622506605120. Its totient is φ = 557914547232.

The previous prime is 1011220120987. The next prime is 1011220121123. The reversal of 1011220121121 is 1211210221101.

It is a happy number.

It is not a de Polignac number, because 1011220121121 - 2²¹ = 1011218023969 is a prime.

It is a super-2 number, since 2×1011220121121² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1011220121121.

It is not an unprimeable number, because it can be changed into a prime (1011220121123) 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 23 ways as a sum of consecutive naturals, for example, 118600021 + ... + 118608546.

It is an arithmetic number, because the mean of its divisors is an integer number (67604441880).

Almost surely, 2^{1011220121121} is an apocalyptic number.

It is an amenable number.

1011220121121 is a deficient number, since it is larger than the sum of its proper divisors (611286483999).

1011220121121 is a wasteful number, since it uses less digits than its factorization.

1011220121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237208613 (or 237208606 counting only the distinct ones).

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

Adding to 1011220121121 its reverse (1211210221101), we get a palindrome (2222430342222).

The spelling of 1011220121121 in words is "one trillion, eleven billion, two hundred twenty million, one hundred twenty-one thousand, one hundred twenty-one".