220201210100105 has 16 divisors (see below), whose sum is σ = 284568546200400. Its totient is φ = 162609650934528.

The previous prime is 220201210100101. The next prime is 220201210100107. The reversal of 220201210100105 is 501001012102022.

It can be written as a sum of positive squares in 8 ways, for example, as 62777288396944 + 157423921703161 = 7923212^2 + 12546869^2 .

It is a cyclic number.

It is not a de Polignac number, because 220201210100105 - 2² = 220201210100101 is a prime.

It is a super-2 number, since 2×220201210100105² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220201210100101) 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, 18408071 + ... + 27915219.

It is an arithmetic number, because the mean of its divisors is an integer number (17785534137525).

Almost surely, 2^{220201210100105} is an apocalyptic number.

It is an amenable number.

220201210100105 is a deficient number, since it is larger than the sum of its proper divisors (64367336100295).

220201210100105 is a wasteful number, since it uses less digits than its factorization.

220201210100105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9863500.

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 220201210100105 its reverse (501001012102022), we get a palindrome (721202222202127).

The spelling of 220201210100105 in words is "two hundred twenty trillion, two hundred one billion, two hundred ten million, one hundred thousand, one hundred five".