10077820221 has 16 divisors (see below), whose sum is σ = 15358089728. Its totient is φ = 5758225200.

The previous prime is 10077820217. The next prime is 10077820223. The reversal of 10077820221 is 12202877001.

It is a happy number.

It is not a de Polignac number, because 10077820221 - 2² = 10077820217 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10077820223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397866 + ... + 422436.

It is an arithmetic number, because the mean of its divisors is an integer number (959880608).

Almost surely, 2^10077820221 is an apocalyptic number.

It is an amenable number.

10077820221 is a deficient number, since it is larger than the sum of its proper divisors (5280269507).

10077820221 is a wasteful number, since it uses less digits than its factorization.

10077820221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44112.

The product of its (nonzero) digits is 3136, while the sum is 30.

The spelling of 10077820221 in words is "ten billion, seventy-seven million, eight hundred twenty thousand, two hundred twenty-one".