100302131221101 has 12 divisors (see below), whose sum is σ = 144891488282112. Its totient is φ = 66863180369736.

The previous prime is 100302131221079. The next prime is 100302131221141. The reversal of 100302131221101 is 101122131203001.

100302131221101 is a `hidden beast` number, since 1 + 0 + 0 + 302 + 131 + 221 + 10 + 1 = 666.

It is not a de Polignac number, because 100302131221101 - 2³¹ = 100299983737453 is a prime.

It is a super-3 number, since 3×100302131221101³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100302131221141) 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, 408796461 + ... + 409041746.

It is an arithmetic number, because the mean of its divisors is an integer number (12074290690176).

Almost surely, 2^{100302131221101} is an apocalyptic number.

It is an amenable number.

100302131221101 is a deficient number, since it is larger than the sum of its proper divisors (44589357061011).

100302131221101 is a wasteful number, since it uses less digits than its factorization.

100302131221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817851840 (or 817851837 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100302131221101 its reverse (101122131203001), we get a palindrome (201424262424102).

The spelling of 100302131221101 in words is "one hundred trillion, three hundred two billion, one hundred thirty-one million, two hundred twenty-one thousand, one hundred one".