200212220105001 has 48 divisors (see below), whose sum is σ = 314415076852240. Its totient is φ = 122762724215040.

The previous prime is 200212220104999. The next prime is 200212220105033. The reversal of 200212220105001 is 100501022212002.

200212220105001 is a `hidden beast` number, since 20 + 0 + 2 + 122 + 20 + 1 + 0 + 500 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 125272033865001 + 74940186240000 = 11192499^2 + 8656800^2 .

It is not a de Polignac number, because 200212220105001 - 2¹ = 200212220104999 is a prime.

It is a super-3 number, since 3×200212220105001³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (200212220105701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12800020 + ... + 23754261.

Almost surely, 2^{200212220105001} is an apocalyptic number.

It is an amenable number.

200212220105001 is a deficient number, since it is larger than the sum of its proper divisors (114202856747239).

200212220105001 is a wasteful number, since it uses less digits than its factorization.

200212220105001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36554603 (or 36554574 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 200212220105001 its reverse (100501022212002), we get a palindrome (300713242317003).

The spelling of 200212220105001 in words is "two hundred trillion, two hundred twelve billion, two hundred twenty million, one hundred five thousand, one".