220102120001001 has 128 divisors (see below), whose sum is σ = 350898935169024. Its totient is φ = 120107996467200.

The previous prime is 220102120000993. The next prime is 220102120001011. The reversal of 220102120001001 is 100100021201022.

It is not a de Polignac number, because 220102120001001 - 2³ = 220102120000993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220102120001011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12926644450 + ... + 12926661476.

It is an arithmetic number, because the mean of its divisors is an integer number (2741397931008).

Almost surely, 2^{220102120001001} is an apocalyptic number.

220102120001001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220102120001001 is a deficient number, since it is larger than the sum of its proper divisors (130796815168023).

220102120001001 is a wasteful number, since it uses less digits than its factorization.

220102120001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18599.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220102120001001 its reverse (100100021201022), we get a palindrome (320202141202023).

The spelling of 220102120001001 in words is "two hundred twenty trillion, one hundred two billion, one hundred twenty million, one thousand, one".