101100377 has 12 divisors (see below), whose sum is σ = 124525620. Its totient is φ = 81559296.

The previous prime is 101100367. The next prime is 101100397. The reversal of 101100377 is 773001101.

It can be written as a sum of positive squares in 2 ways, for example, as 58537801 + 42562576 = 7651^2 + 6524^2 .

It is not a de Polignac number, because 101100377 - 2⁴ = 101100361 is a prime.

It is a super-3 number, since 3×101100377³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59852 + ... + 61517.

It is an arithmetic number, because the mean of its divisors is an integer number (10377135).

Almost surely, 2^101100377 is an apocalyptic number.

101100377 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

101100377 is a deficient number, since it is larger than the sum of its proper divisors (23425243).

101100377 is a wasteful number, since it uses less digits than its factorization.

101100377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121400 (or 121393 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 20.

The square root of 101100377 is about 10054.8683233546. The cubic root of 101100377 is about 465.8551758203.

Adding to 101100377 its reverse (773001101), we get a palindrome (874101478).

The spelling of 101100377 in words is "one hundred one million, one hundred thousand, three hundred seventy-seven".