21021301122201 has 24 divisors (see below), whose sum is σ = 31220150447304. Its totient is φ = 13619961146880.

The previous prime is 21021301122187. The next prime is 21021301122247. The reversal of 21021301122201 is 10222110312012.

21021301122201 is a `hidden beast` number, since 21 + 0 + 21 + 301 + 122 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2786308762176 + 18234992360025 = 1669224^2 + 4270245^2 .

It is not a de Polignac number, because 21021301122201 - 2⁶ = 21021301122137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21021301122281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35533546 + ... + 36120291.

It is an arithmetic number, because the mean of its divisors is an integer number (1300839601971).

Almost surely, 2^{21021301122201} is an apocalyptic number.

It is an amenable number.

21021301122201 is a deficient number, since it is larger than the sum of its proper divisors (10198849325103).

21021301122201 is a wasteful number, since it uses less digits than its factorization.

21021301122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71654761 (or 71654758 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21021301122201 its reverse (10222110312012), we get a palindrome (31243411434213).

The spelling of 21021301122201 in words is "twenty-one trillion, twenty-one billion, three hundred one million, one hundred twenty-two thousand, two hundred one".