1020201211121 has 4 divisors (see below), whose sum is σ = 1020279406500. Its totient is φ = 1020123015744.

The previous prime is 1020201211111. The next prime is 1020201211193. The reversal of 1020201211121 is 1211121020201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 634356496225 + 385844714896 = 796465^2 + 621164^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020201211121 - 2³⁴ = 1003021341937 is a prime.

It is a super-2 number, since 2×1020201211121² (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 = 1020201211096 and 1020201211105.

It is not an unprimeable number, because it can be changed into a prime (1020201211111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39078116 + ... + 39104213.

It is an arithmetic number, because the mean of its divisors is an integer number (255069851625).

Almost surely, 2^{1020201211121} is an apocalyptic number.

It is an amenable number.

1020201211121 is a deficient number, since it is larger than the sum of its proper divisors (78195379).

1020201211121 is an equidigital number, since it uses as much as digits as its factorization.

1020201211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78195378.

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

Adding to 1020201211121 its reverse (1211121020201), we get a palindrome (2231322231322).

The spelling of 1020201211121 in words is "one trillion, twenty billion, two hundred one million, two hundred eleven thousand, one hundred twenty-one".