1002220100101 has 16 divisors (see below), whose sum is σ = 1094630995008. Its totient is φ = 910026374400.

The previous prime is 1002220100093. The next prime is 1002220100177. The reversal of 1002220100101 is 1010010222001.

It is not a de Polignac number, because 1002220100101 - 2³ = 1002220100093 is a prime.

It is a super-3 number, since 3×1002220100101³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002220100191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49661325 + ... + 49681501.

It is an arithmetic number, because the mean of its divisors is an integer number (68414437188).

Almost surely, 2^{1002220100101} is an apocalyptic number.

1002220100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002220100101 is a deficient number, since it is larger than the sum of its proper divisors (92410894907).

1002220100101 is a wasteful number, since it uses less digits than its factorization.

1002220100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25332.

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

Adding to 1002220100101 its reverse (1010010222001), we get a palindrome (2012230322102).

The spelling of 1002220100101 in words is "one trillion, two billion, two hundred twenty million, one hundred thousand, one hundred one".