100102220221113 has 48 divisors (see below), whose sum is σ = 163675223712000. Its totient is φ = 60632301433680.

The previous prime is 100102220221051. The next prime is 100102220221121. The reversal of 100102220221113 is 311122022201001.

100102220221113 is a `hidden beast` number, since 10 + 0 + 102 + 220 + 221 + 113 = 666.

It is not a de Polignac number, because 100102220221113 - 2¹⁰ = 100102220220089 is a prime.

It is a super-2 number, since 2×100102220221113² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100102220221183) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6479583 + ... + 15562436.

It is an arithmetic number, because the mean of its divisors is an integer number (3409900494000).

Almost surely, 2^{100102220221113} is an apocalyptic number.

It is an amenable number.

100102220221113 is a deficient number, since it is larger than the sum of its proper divisors (63573003490887).

100102220221113 is a wasteful number, since it uses less digits than its factorization.

100102220221113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22043744 (or 22043732 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100102220221113 its reverse (311122022201001), we get a palindrome (411224242422114).

The spelling of 100102220221113 in words is "one hundred trillion, one hundred two billion, two hundred twenty million, two hundred twenty-one thousand, one hundred thirteen".