101050821 has 24 divisors (see below), whose sum is σ = 153526464. Its totient is φ = 66407040.

The previous prime is 101050783. The next prime is 101050823. The reversal of 101050821 is 128050101.

It is not a de Polignac number, because 101050821 - 2¹⁰ = 101049797 is a prime.

It is a super-2 number, since 2×101050821² = 20422536849548082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101050794 and 101050803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101050823) 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, 14325 + ... + 20181.

It is an arithmetic number, because the mean of its divisors is an integer number (6396936).

Almost surely, 2^101050821 is an apocalyptic number.

It is an amenable number.

101050821 is a deficient number, since it is larger than the sum of its proper divisors (52475643).

101050821 is an frugal number, since it uses more digits than its factorization.

101050821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5943 (or 5931 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 101050821 is about 10052.4037423892. The cubic root of 101050821 is about 465.7790478744.

The spelling of 101050821 in words is "one hundred one million, fifty thousand, eight hundred twenty-one".