100100012221101 has 8 divisors (see below), whose sum is σ = 133545238991200. Its totient is φ = 66694063465872.

The previous prime is 100100012221087. The next prime is 100100012221123. The reversal of 100100012221101 is 101122210001001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100100012221101 - 2⁹ = 100100012220589 is a prime.

It is a super-3 number, since 3×100100012221101³ (a number of 43 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 (100100012221141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9819497770 + ... + 9819507963.

It is an arithmetic number, because the mean of its divisors is an integer number (16693154873900).

Almost surely, 2^{100100012221101} is an apocalyptic number.

It is an amenable number.

100100012221101 is a deficient number, since it is larger than the sum of its proper divisors (33445226770099).

100100012221101 is a wasteful number, since it uses less digits than its factorization.

100100012221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19639007435.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100100012221101 its reverse (101122210001001), we get a palindrome (201222222222102).

The spelling of 100100012221101 in words is "one hundred trillion, one hundred billion, twelve million, two hundred twenty-one thousand, one hundred one".