21122200201001 has 16 divisors (see below), whose sum is σ = 21860882119440. Its totient is φ = 20384208983040.

The previous prime is 21122200200917. The next prime is 21122200201021. The reversal of 21122200201001 is 10010200222112.

It can be written as a sum of positive squares in 8 ways, for example, as 2012712527401 + 19109487673600 = 1418701^2 + 4371440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21122200201001 is a prime.

It is a super-2 number, since 2×21122200201001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21122200201021) 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, 965310581 + ... + 965332461.

It is an arithmetic number, because the mean of its divisors is an integer number (1366305132465).

Almost surely, 2^{21122200201001} is an apocalyptic number.

It is an amenable number.

21122200201001 is a deficient number, since it is larger than the sum of its proper divisors (738681918439).

21122200201001 is a wasteful number, since it uses less digits than its factorization.

21122200201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36124.

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

Adding to 21122200201001 its reverse (10010200222112), we get a palindrome (31132400423113).

The spelling of 21122200201001 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred million, two hundred one thousand, one".