1011200221121 has 4 divisors (see below), whose sum is σ = 1024000224000. Its totient is φ = 998400218244.

The previous prime is 1011200221037. The next prime is 1011200221123. The reversal of 1011200221121 is 1211220021101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1011200221121 - 2¹⁴ = 1011200204737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011200221096 and 1011200221105.

It is not an unprimeable number, because it can be changed into a prime (1011200221123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6400001321 + ... + 6400001478.

It is an arithmetic number, because the mean of its divisors is an integer number (256000056000).

Almost surely, 2^{1011200221121} is an apocalyptic number.

It is an amenable number.

1011200221121 is a deficient number, since it is larger than the sum of its proper divisors (12800002879).

1011200221121 is an equidigital number, since it uses as much as digits as its factorization.

1011200221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12800002878.

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

Adding to 1011200221121 its reverse (1211220021101), we get a palindrome (2222420242222).

It can be divided in two parts, 1011200 and 221121, that added together give a palindrome (1232321).

The spelling of 1011200221121 in words is "one trillion, eleven billion, two hundred million, two hundred twenty-one thousand, one hundred twenty-one".