1021221022001 has 16 divisors (see below), whose sum is σ = 1033398265296. Its totient is φ = 1009103671296.

The previous prime is 1021221021983. The next prime is 1021221022009. The reversal of 1021221022001 is 1002201221201.

It can be written as a sum of positive squares in 8 ways, for example, as 363459471376 + 657761550625 = 602876^2 + 811025^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021221022001 - 2³⁴ = 1004041152817 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1021221022009) 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, 50764121 + ... + 50784233.

It is an arithmetic number, because the mean of its divisors is an integer number (64587391581).

Almost surely, 2^{1021221022001} is an apocalyptic number.

It is an amenable number.

1021221022001 is a deficient number, since it is larger than the sum of its proper divisors (12177243295).

1021221022001 is a wasteful number, since it uses less digits than its factorization.

1021221022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21572.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1021221022001 its reverse (1002201221201), we get a palindrome (2023422243202).

The spelling of 1021221022001 in words is "one trillion, twenty-one billion, two hundred twenty-one million, twenty-two thousand, one".