100131221110101 has 8 divisors (see below), whose sum is σ = 133659836581824. Its totient is φ = 66678376522560.

The previous prime is 100131221110093. The next prime is 100131221110103. The reversal of 100131221110101 is 101011122131001.

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

It is not a de Polignac number, because 100131221110101 - 2³ = 100131221110093 is a prime.

It is a super-3 number, since 3×100131221110101³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131221110103) 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, 18942717961 + ... + 18942723246.

It is an arithmetic number, because the mean of its divisors is an integer number (16707479572728).

Almost surely, 2^{100131221110101} is an apocalyptic number.

It is an amenable number.

100131221110101 is a deficient number, since it is larger than the sum of its proper divisors (33528615471723).

100131221110101 is an equidigital number, since it uses as much as digits as its factorization.

100131221110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37885442091.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 100131221110101 its reverse (101011122131001), we get a palindrome (201142343241102).

The spelling of 100131221110101 in words is "one hundred trillion, one hundred thirty-one billion, two hundred twenty-one million, one hundred ten thousand, one hundred one".