10100611007 has 8 divisors (see below), whose sum is σ = 10269804000. Its totient is φ = 9931534560.

The previous prime is 10100610973. The next prime is 10100611021. The reversal of 10100611007 is 70011600101.

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 10100611007 - 2¹² = 10100606911 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 (10100616007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155333 + ... + 210545.

It is an arithmetic number, because the mean of its divisors is an integer number (1283725500).

Almost surely, 2^10100611007 is an apocalyptic number.

10100611007 is a deficient number, since it is larger than the sum of its proper divisors (169192993).

10100611007 is an equidigital number, since it uses as much as digits as its factorization.

10100611007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58273.

The product of its (nonzero) digits is 42, while the sum is 17.

The spelling of 10100611007 in words is "ten billion, one hundred million, six hundred eleven thousand, seven".