10010106001 has 16 divisors (see below), whose sum is σ = 11865600000. Its totient is φ = 8262531648.

The previous prime is 10010105969. The next prime is 10010106011. The reversal of 10010106001 is 10060101001.

It is not a de Polignac number, because 10010106001 - 2⁵ = 10010105969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010106011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13375 + ... + 142123.

It is an arithmetic number, because the mean of its divisors is an integer number (741600000).

Almost surely, 2^10010106001 is an apocalyptic number.

It is an amenable number.

10010106001 is a deficient number, since it is larger than the sum of its proper divisors (1855493999).

10010106001 is a wasteful number, since it uses less digits than its factorization.

10010106001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129168.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10010106001 its reverse (10060101001), we get a palindrome (20070207002).

Subtracting 10010106001 from its reverse (10060101001), we obtain a triangular number (49995000 = T₉₉₉₉).

The spelling of 10010106001 in words is "ten billion, ten million, one hundred six thousand, one".