1021021221001 has 8 divisors (see below), whose sum is σ = 1026699101064. Its totient is φ = 1015343746560.

The previous prime is 1021021220963. The next prime is 1021021221029. The reversal of 1021021221001 is 1001221201201.

It can be written as a sum of positive squares in 4 ways, for example, as 64561225 + 1020956659776 = 8035^2 + 1010424^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1021021221001 - 2²³ = 1021012832393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1021021221601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5945721 + ... + 6115033.

It is an arithmetic number, because the mean of its divisors is an integer number (128337387633).

Almost surely, 2^{1021021221001} is an apocalyptic number.

It is an amenable number.

1021021221001 is a deficient number, since it is larger than the sum of its proper divisors (5677880063).

1021021221001 is a wasteful number, since it uses less digits than its factorization.

1021021221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202811.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1021021221001 its reverse (1001221201201), we get a palindrome (2022242422202).

The spelling of 1021021221001 in words is "one trillion, twenty-one billion, twenty-one million, two hundred twenty-one thousand, one".