10002002221101 has 24 divisors (see below), whose sum is σ = 15295911422400. Its totient is φ = 5798262152320.

The previous prime is 10002002221097. The next prime is 10002002221111. The reversal of 10002002221101 is 10112220020001.

It is not a de Polignac number, because 10002002221101 - 2² = 10002002221097 is a prime.

It is a super-3 number, since 3×10002002221101³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002002221111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598985676 + ... + 599002373.

It is an arithmetic number, because the mean of its divisors is an integer number (637329642600).

Almost surely, 2^{10002002221101} is an apocalyptic number.

10002002221101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10002002221101 is a deficient number, since it is larger than the sum of its proper divisors (5293909201299).

10002002221101 is a wasteful number, since it uses less digits than its factorization.

10002002221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197988097 (or 1197988086 counting only the distinct ones).

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

Adding to 10002002221101 its reverse (10112220020001), we get a palindrome (20114222241102).

The spelling of 10002002221101 in words is "ten trillion, two billion, two million, two hundred twenty-one thousand, one hundred one".