100100005006010 has 8 divisors (see below), whose sum is σ = 180180009010836. Its totient is φ = 40040002002400.

The previous prime is 100100005006007. The next prime is 100100005006069. The reversal of 100100005006010 is 10600500001001.

It can be written as a sum of positive squares in 2 ways, for example, as 94022907364681 + 6077097641329 = 9696541^2 + 2465177^2 .

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

It is a super-2 number, since 2×100100005006010² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5005000250291 + ... + 5005000250310.

Almost surely, 2^{100100005006010} is an apocalyptic number.

100100005006010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100005006010 is a deficient number, since it is larger than the sum of its proper divisors (80080004004826).

100100005006010 is a wasteful number, since it uses less digits than its factorization.

100100005006010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10010000500608.

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 100100005006010 its reverse (10600500001001), we get a palindrome (110700505007011).

The spelling of 100100005006010 in words is "one hundred trillion, one hundred billion, five million, six thousand, ten".