10106001106001 has 8 divisors (see below), whose sum is σ = 10430681641440. Its totient is φ = 9786433650048.

The previous prime is 10106001105997. The next prime is 10106001106067. The reversal of 10106001106001 is 10060110060101.

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

It is a cyclic number.

It is not a de Polignac number, because 10106001106001 - 2² = 10106001105997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10106001106081) 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, 1278265856 + ... + 1278273761.

It is an arithmetic number, because the mean of its divisors is an integer number (1303835205180).

Almost surely, 2^{10106001106001} is an apocalyptic number.

It is an amenable number.

10106001106001 is a deficient number, since it is larger than the sum of its proper divisors (324680535439).

10106001106001 is an equidigital number, since it uses as much as digits as its factorization.

10106001106001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556539743.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10106001106001 its reverse (10060110060101), we get a palindrome (20166111166102).

The spelling of 10106001106001 in words is "ten trillion, one hundred six billion, one million, one hundred six thousand, one".