220011002001 has 18 divisors (see below), whose sum is σ = 369678351042. Its totient is φ = 125720572320.

The previous prime is 220011001981. The next prime is 220011002009. The reversal of 220011002001 is 100200110022.

It can be written as a sum of positive squares in only one way, i.e., 115165209600 + 104845792401 = 339360^2 + 323799^2 .

It is not a de Polignac number, because 220011002001 - 2²¹ = 220008904849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (220011002009) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 249445140 + ... + 249446021.

It is an arithmetic number, because the mean of its divisors is an integer number (20537686169).

Almost surely, 2^220011002001 is an apocalyptic number.

220011002001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220011002001 is a deficient number, since it is larger than the sum of its proper divisors (149667349041).

220011002001 is a wasteful number, since it uses less digits than its factorization.

220011002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498891181 (or 498891171 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 220011002001 its reverse (100200110022), we get a palindrome (320211112023).

The spelling of 220011002001 in words is "two hundred twenty billion, eleven million, two thousand, one".