101138877 has 24 divisors (see below), whose sum is σ = 170516736. Its totient is φ = 56562336.

The previous prime is 101138867. The next prime is 101138897. The reversal of 101138877 is 778831101.

It is not a de Polignac number, because 101138877 - 2⁷ = 101138749 is a prime.

It is a super-2 number, since 2×101138877² = 20458144881642258, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101138827) 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 23 ways as a sum of consecutive naturals, for example, 14118 + ... + 20039.

It is an arithmetic number, because the mean of its divisors is an integer number (7104864).

Almost surely, 2^101138877 is an apocalyptic number.

It is an amenable number.

101138877 is a deficient number, since it is larger than the sum of its proper divisors (69377859).

101138877 is a wasteful number, since it uses less digits than its factorization.

101138877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34217 (or 34214 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The square root of 101138877 is about 10056.7826366090. The cubic root of 101138877 is about 465.9143023657.

Adding to 101138877 its reverse (778831101), we get a palindrome (879969978).

The spelling of 101138877 in words is "one hundred one million, one hundred thirty-eight thousand, eight hundred seventy-seven".