101836821 has 16 divisors (see below), whose sum is σ = 138145280. Its totient is φ = 66720240.

The previous prime is 101836793. The next prime is 101836841. The reversal of 101836821 is 128638101.

It is not a de Polignac number, because 101836821 - 2⁹ = 101836309 is a prime.

It is a super-2 number, since 2×101836821² = 20741476222772082, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101836841) 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 in 15 ways as a sum of consecutive naturals, for example, 41766 + ... + 44136.

It is an arithmetic number, because the mean of its divisors is an integer number (8634080).

Almost surely, 2^101836821 is an apocalyptic number.

It is an amenable number.

101836821 is a deficient number, since it is larger than the sum of its proper divisors (36308459).

101836821 is a wasteful number, since it uses less digits than its factorization.

101836821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 101836821 is about 10091.4231404693. The cubic root of 101836821 is about 466.9835810492.

The spelling of 101836821 in words is "one hundred one million, eight hundred thirty-six thousand, eight hundred twenty-one".