101561107007 has 8 divisors (see below), whose sum is σ = 102856995840. Its totient is φ = 100265475960.

The previous prime is 101561106917. The next prime is 101561107019. The reversal of 101561107007 is 700701165101.

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

It is not a de Polignac number, because 101561107007 - 2²⁴ = 101544329791 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 (101561107027) 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, 802382 + ... + 920292.

It is an arithmetic number, because the mean of its divisors is an integer number (12857124480).

Almost surely, 2^101561107007 is an apocalyptic number.

101561107007 is a deficient number, since it is larger than the sum of its proper divisors (1295888833).

101561107007 is a wasteful number, since it uses less digits than its factorization.

101561107007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128893.

The product of its (nonzero) digits is 1470, while the sum is 29.

The spelling of 101561107007 in words is "one hundred one billion, five hundred sixty-one million, one hundred seven thousand, seven".