101885137 has 2 divisors, whose sum is σ = 101885138. Its totient is φ = 101885136.

The previous prime is 101885129. The next prime is 101885171. The reversal of 101885137 is 731588101.

It is an a-pointer prime, because the next prime (101885171) can be obtained adding 101885137 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65028096 + 36857041 = 8064^2 + 6071^2 .

It is a cyclic number.

It is not a de Polignac number, because 101885137 - 2³ = 101885129 is a prime.

It is a super-2 number, since 2×101885137² = 20761162283017538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101885177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50942568 + 50942569.

It is an arithmetic number, because the mean of its divisors is an integer number (50942569).

Almost surely, 2^101885137 is an apocalyptic number.

It is an amenable number.

101885137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101885137 is an equidigital number, since it uses as much as digits as its factorization.

101885137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 34.

The square root of 101885137 is about 10093.8167706770. The cubic root of 101885137 is about 467.0574220927.

The spelling of 101885137 in words is "one hundred one million, eight hundred eighty-five thousand, one hundred thirty-seven".