100220211111001 has 16 divisors (see below), whose sum is σ = 104745411993600. Its totient is φ = 95709116878848.

The previous prime is 100220211110989. The next prime is 100220211111019. The reversal of 100220211111001 is 100111112022001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100220211111001 - 2⁵ = 100220211110969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100220212111001) 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, 34400785 + ... + 37200193.

It is an arithmetic number, because the mean of its divisors is an integer number (6546588249600).

Almost surely, 2^{100220211111001} is an apocalyptic number.

It is an amenable number.

100220211111001 is a deficient number, since it is larger than the sum of its proper divisors (4525200882599).

100220211111001 is a wasteful number, since it uses less digits than its factorization.

100220211111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801928.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100220211111001 its reverse (100111112022001), we get a palindrome (200331323133002).

The spelling of 100220211111001 in words is "one hundred trillion, two hundred twenty billion, two hundred eleven million, one hundred eleven thousand, one".