101058608101 has 4 divisors (see below), whose sum is σ = 110245754304. Its totient is φ = 91871461900.

The previous prime is 101058608093. The next prime is 101058608117. The reversal of 101058608101 is 101806850101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101058608101 - 2³ = 101058608093 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 (101058608201) 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, 4593573085 + ... + 4593573106.

It is an arithmetic number, because the mean of its divisors is an integer number (27561438576).

Almost surely, 2^101058608101 is an apocalyptic number.

101058608101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101058608101 is a deficient number, since it is larger than the sum of its proper divisors (9187146203).

101058608101 is an equidigital number, since it uses as much as digits as its factorization.

101058608101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9187146202.

The product of its (nonzero) digits is 1920, while the sum is 31.

The spelling of 101058608101 in words is "one hundred one billion, fifty-eight million, six hundred eight thousand, one hundred one".