221020212001001 has 6 divisors (see below), whose sum is σ = 257105144572650. Its totient is φ = 189445896000816.

The previous prime is 221020212000949. The next prime is 221020212001013. The reversal of 221020212001001 is 100100212020122.

It can be written as a sum of positive squares in only one way, i.e., 121094178318400 + 99926033682601 = 11004280^2 + 9996301^2 .

It is not a de Polignac number, because 221020212001001 - 2³⁸ = 220745334094057 is a prime.

It is a super-2 number, since 2×221020212001001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221020212000001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2255308285676 + ... + 2255308285773.

It is an arithmetic number, because the mean of its divisors is an integer number (42850857428775).

Almost surely, 2^{221020212001001} is an apocalyptic number.

It is an amenable number.

221020212001001 is a deficient number, since it is larger than the sum of its proper divisors (36084932571649).

221020212001001 is an equidigital number, since it uses as much as digits as its factorization.

221020212001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4510616571463 (or 4510616571456 counting only the distinct ones).

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

Adding to 221020212001001 its reverse (100100212020122), we get a palindrome (321120424021123).

The spelling of 221020212001001 in words is "two hundred twenty-one trillion, twenty billion, two hundred twelve million, one thousand, one".