10006101010061 has 4 divisors (see below), whose sum is σ = 10775801087772. Its totient is φ = 9236400932352.

The previous prime is 10006101010057. The next prime is 10006101010079. The reversal of 10006101010061 is 16001010160001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4440776509225 + 5565324500836 = 2107315^2 + 2359094^2 .

It is a cyclic number.

It is not a de Polignac number, because 10006101010061 - 2² = 10006101010057 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 (10006101015061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 384850038836 + ... + 384850038861.

It is an arithmetic number, because the mean of its divisors is an integer number (2693950271943).

Almost surely, 2^{10006101010061} is an apocalyptic number.

It is an amenable number.

10006101010061 is a deficient number, since it is larger than the sum of its proper divisors (769700077711).

10006101010061 is an equidigital number, since it uses as much as digits as its factorization.

10006101010061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769700077710.

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

Adding to 10006101010061 its reverse (16001010160001), we get a palindrome (26007111170062).

The spelling of 10006101010061 in words is "ten trillion, six billion, one hundred one million, ten thousand, sixty-one".