100001221101101 has 24 divisors (see below), whose sum is σ = 109789682425344. Its totient is φ = 90972027843840.

The previous prime is 100001221101073. The next prime is 100001221101127. The reversal of 100001221101101 is 101101122100001.

It is not a de Polignac number, because 100001221101101 - 2⁴² = 95603174589997 is a prime.

It is a super-2 number, since 2×100001221101101² (a number of 29 digits) contains 22 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 (100001221101701) 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, 591911 + ... + 14154603.

It is an arithmetic number, because the mean of its divisors is an integer number (4574570101056).

Almost surely, 2^{100001221101101} is an apocalyptic number.

It is an amenable number.

100001221101101 is a deficient number, since it is larger than the sum of its proper divisors (9788461324243).

100001221101101 is a wasteful number, since it uses less digits than its factorization.

100001221101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13563581 (or 13563564 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100001221101101 its reverse (101101122100001), we get a palindrome (201102343201102).

The spelling of 100001221101101 in words is "one hundred trillion, one billion, two hundred twenty-one million, one hundred one thousand, one hundred one".