221022020002001 has 8 divisors (see below), whose sum is σ = 225685118324424. Its totient is φ = 216403121664000.

The previous prime is 221022020001989. The next prime is 221022020002009. The reversal of 221022020002001 is 100200020220122.

It can be written as a sum of positive squares in 4 ways, for example, as 115244497569601 + 105777522432400 = 10735199^2 + 10284820^2 .

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 221022020002001 - 2³⁸ = 220747142095057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221022020002009) 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, 11049986000 + ... + 11050006001.

It is an arithmetic number, because the mean of its divisors is an integer number (28210639790553).

Almost surely, 2^{221022020002001} is an apocalyptic number.

It is an amenable number.

221022020002001 is a deficient number, since it is larger than the sum of its proper divisors (4663098322423).

221022020002001 is a wasteful number, since it uses less digits than its factorization.

221022020002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22099992211.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 221022020002001 its reverse (100200020220122), we get a palindrome (321222040222123).

The spelling of 221022020002001 in words is "two hundred twenty-one trillion, twenty-two billion, twenty million, two thousand, one".