100002221002101 has 48 divisors (see below), whose sum is σ = 146763525726720. Its totient is φ = 60523178839200.

The previous prime is 100002221002097. The next prime is 100002221002111. The reversal of 100002221002101 is 101200122200001.

It is not a de Polignac number, because 100002221002101 - 2² = 100002221002097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002221002111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 925798186 + ... + 925906196.

It is an arithmetic number, because the mean of its divisors is an integer number (3057573452640).

Almost surely, 2^{100002221002101} is an apocalyptic number.

100002221002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100002221002101 is a deficient number, since it is larger than the sum of its proper divisors (46761304724619).

100002221002101 is a wasteful number, since it uses less digits than its factorization.

100002221002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111558 (or 111547 counting only the distinct ones).

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

Adding to 100002221002101 its reverse (101200122200001), we get a palindrome (201202343202102).

The spelling of 100002221002101 in words is "one hundred trillion, two billion, two hundred twenty-one million, two thousand, one hundred one".