10100001005106 has 32 divisors (see below), whose sum is σ = 20939835424320. Its totient is φ = 3245062199616.

The previous prime is 10100001005099. The next prime is 10100001005113. The reversal of 10100001005106 is 60150010000101.

It is an interprime number because it is at equal distance from previous prime (10100001005099) and next prime (10100001005113).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212572041 + ... + 212619548.

It is an arithmetic number, because the mean of its divisors is an integer number (654369857010).

Almost surely, 2^{10100001005106} is an apocalyptic number.

10100001005106 is an abundant number, since it is smaller than the sum of its proper divisors (10839834419214).

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

10100001005106 is a wasteful number, since it uses less digits than its factorization.

10100001005106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425191738.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 10100001005106 its reverse (60150010000101), we get a palindrome (70250011005207).

The spelling of 10100001005106 in words is "ten trillion, one hundred billion, one million, five thousand, one hundred six".