100211002221 has 48 divisors (see below), whose sum is σ = 148907566080. Its totient is φ = 59891488800.

The previous prime is 100211002219. The next prime is 100211002249. The reversal of 100211002221 is 122200112001.

It is not a de Polignac number, because 100211002221 - 2¹ = 100211002219 is a prime.

It is a super-2 number, since 2×100211002221² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100211002197 and 100211002206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211002211) 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 47 ways as a sum of consecutive naturals, for example, 31285006 + ... + 31288208.

It is an arithmetic number, because the mean of its divisors is an integer number (3102240960).

Almost surely, 2^100211002221 is an apocalyptic number.

100211002221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100211002221 is a deficient number, since it is larger than the sum of its proper divisors (48696563859).

100211002221 is a wasteful number, since it uses less digits than its factorization.

100211002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100211002221 its reverse (122200112001), we get a palindrome (222411114222).

The spelling of 100211002221 in words is "one hundred billion, two hundred eleven million, two thousand, two hundred twenty-one".