1020001022221 has 12 divisors (see below), whose sum is σ = 1038045155644. Its totient is φ = 1002265473600.

The previous prime is 1020001022203. The next prime is 1020001022263. The reversal of 1020001022221 is 1222201000201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 344627702500 + 675373319721 = 587050^2 + 821811^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1020001022221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020001022921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7875931 + ... + 8004391.

Almost surely, 2^{1020001022221} is an apocalyptic number.

It is an amenable number.

1020001022221 is a deficient number, since it is larger than the sum of its proper divisors (18044133423).

1020001022221 is an equidigital number, since it uses as much as digits as its factorization.

1020001022221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130860 (or 130801 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1020001022221 its reverse (1222201000201), we get a palindrome (2242202022422).

The spelling of 1020001022221 in words is "one trillion, twenty billion, one million, twenty-two thousand, two hundred twenty-one".