1020121000221 has 16 divisors (see below), whose sum is σ = 1451361775040. Its totient is φ = 635461096320.

The previous prime is 1020121000219. The next prime is 1020121000229. The reversal of 1020121000221 is 1220001210201.

It is not a de Polignac number, because 1020121000221 - 2¹ = 1020121000219 is a prime.

It is a super-4 number, since 4×1020121000221⁴ (a number of 49 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020121000197 and 1020121000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020121000229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122577070 + ... + 122585391.

It is an arithmetic number, because the mean of its divisors is an integer number (90710110940).

Almost surely, 2^{1020121000221} is an apocalyptic number.

It is an amenable number.

1020121000221 is a deficient number, since it is larger than the sum of its proper divisors (431240774819).

1020121000221 is a wasteful number, since it uses less digits than its factorization.

1020121000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245162556.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020121000221 its reverse (1220001210201), we get a palindrome (2240122210422).

The spelling of 1020121000221 in words is "one trillion, twenty billion, one hundred twenty-one million, two hundred twenty-one", and thus it is an aban number.