100220211001 has 8 divisors (see below), whose sum is σ = 100867007240. Its totient is φ = 99573522048.

The previous prime is 100220210999. The next prime is 100220211041. The reversal of 100220211001 is 100112022001.

It can be written as a sum of positive squares in 4 ways, for example, as 335768976 + 99884442025 = 18324^2 + 316045^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100220211001 - 2¹ = 100220210999 is a prime.

It is a super-2 number, since 2×100220211001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100220211041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2804635 + ... + 2840143.

It is an arithmetic number, because the mean of its divisors is an integer number (12608375905).

Almost surely, 2^100220211001 is an apocalyptic number.

It is an amenable number.

100220211001 is a deficient number, since it is larger than the sum of its proper divisors (646796239).

100220211001 is a wasteful number, since it uses less digits than its factorization.

100220211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53643.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100220211001 its reverse (100112022001), we get a palindrome (200332233002).

The spelling of 100220211001 in words is "one hundred billion, two hundred twenty million, two hundred eleven thousand, one".