100100101105000 has 40 divisors (see below), whose sum is σ = 234534536900730. Its totient is φ = 40040040440000.

The previous prime is 100100101104947. The next prime is 100100101105021. The reversal of 100100101105000 is 501101001001.

It can be written as a sum of positive squares in 5 ways, for example, as 17361538891524 + 82738562213476 = 4166718^2 + 9096074^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10010005111 + ... + 10010015110.

Almost surely, 2^{100100101105000} is an apocalyptic number.

100100101105000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100101105000 is an abundant number, since it is smaller than the sum of its proper divisors (134434435795730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100100101105000 is an equidigital number, since it uses as much as digits as its factorization.

100100101105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20020020247 (or 20020020228 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 10.

Adding to 100100101105000 its reverse (501101001001), we get a palindrome (100601202106001).

The spelling of 100100101105000 in words is "one hundred trillion, one hundred billion, one hundred one million, one hundred five thousand".