10000100106101 has 8 divisors (see below), whose sum is σ = 11457473460480. Its totient is φ = 8549923657968.

The previous prime is 10000100106097. The next prime is 10000100106107. The reversal of 10000100106101 is 10160100100001.

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

It is not a de Polignac number, because 10000100106101 - 2² = 10000100106097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000100106107) 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, 1799223581 + ... + 1799229138.

It is an arithmetic number, because the mean of its divisors is an integer number (1432184182560).

Almost surely, 2^{10000100106101} is an apocalyptic number.

It is an amenable number.

10000100106101 is a deficient number, since it is larger than the sum of its proper divisors (1457373354379).

10000100106101 is an equidigital number, since it uses as much as digits as its factorization.

10000100106101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598453123.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10000100106101 its reverse (10160100100001), we get a palindrome (20160200206102).

The spelling of 10000100106101 in words is "ten trillion, one hundred million, one hundred six thousand, one hundred one".