100001000221101 has 12 divisors (see below), whose sum is σ = 165081016238112. Its totient is φ = 57143428697736.

The previous prime is 100001000221037. The next prime is 100001000221117. The reversal of 100001000221101 is 101122000100001.

It is a happy number.

It is not a de Polignac number, because 100001000221101 - 2⁶ = 100001000221037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001000229101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 793658731851 + ... + 793658731976.

It is an arithmetic number, because the mean of its divisors is an integer number (13756751353176).

Almost surely, 2^{100001000221101} is an apocalyptic number.

It is an amenable number.

100001000221101 is a deficient number, since it is larger than the sum of its proper divisors (65080016017011).

100001000221101 is a wasteful number, since it uses less digits than its factorization.

100001000221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587317463840 (or 1587317463837 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100001000221101 its reverse (101122000100001), we get a palindrome (201123000321102).

The spelling of 100001000221101 in words is "one hundred trillion, one billion, two hundred twenty-one thousand, one hundred one".