100077101 has 4 divisors (see below), whose sum is σ = 100192092. Its totient is φ = 99962112.

The previous prime is 100077097. The next prime is 100077137. The reversal of 100077101 is 101770001.

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 40386025 + 59691076 = 6355^2 + 7726^2 .

It is a cyclic number.

It is not a de Polignac number, because 100077101 - 2² = 100077097 is a prime.

It is a super-3 number, since 3×100077101³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100077101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100077401) 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, 56180 + ... + 57933.

It is an arithmetic number, because the mean of its divisors is an integer number (25048023).

Almost surely, 2^100077101 is an apocalyptic number.

It is an amenable number.

100077101 is a deficient number, since it is larger than the sum of its proper divisors (114991).

100077101 is an equidigital number, since it uses as much as digits as its factorization.

100077101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114990.

The product of its (nonzero) digits is 49, while the sum is 17.

The square root of 100077101 is about 10003.8543072158. The cubic root of 100077101 is about 464.2781430966.

The spelling of 100077101 in words is "one hundred million, seventy-seven thousand, one hundred one".