101000200221 has 12 divisors (see below), whose sum is σ = 146112600348. Its totient is φ = 67230348864.

The previous prime is 101000200211. The next prime is 101000200229. The reversal of 101000200221 is 122002000101.

It can be written as a sum of positive squares in 2 ways, for example, as 31996265625 + 69003934596 = 178875^2 + 262686^2 .

It is not a de Polignac number, because 101000200221 - 2⁹ = 101000199709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000200229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8586960 + ... + 8598713.

It is an arithmetic number, because the mean of its divisors is an integer number (12176050029).

Almost surely, 2^101000200221 is an apocalyptic number.

It is an amenable number.

101000200221 is a deficient number, since it is larger than the sum of its proper divisors (45112400127).

101000200221 is a wasteful number, since it uses less digits than its factorization.

101000200221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17186332 (or 17186329 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101000200221 its reverse (122002000101), we get a palindrome (223002200322).

The spelling of 101000200221 in words is "one hundred one billion, two hundred thousand, two hundred twenty-one".