210221122210100 has 36 divisors (see below), whose sum is σ = 483013943152524. Its totient is φ = 79142069537280.

The previous prime is 210221122210013. The next prime is 210221122210123. The reversal of 210221122210100 is 1012221122012.

210221122210100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 15348624023824 + 194872498186276 = 3917732^2 + 13959674^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61829740127 + ... + 61829743526.

It is an arithmetic number, because the mean of its divisors is an integer number (13417053976459).

Almost surely, 2^{210221122210100} is an apocalyptic number.

210221122210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210221122210100 is an abundant number, since it is smaller than the sum of its proper divisors (272792820942424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210221122210100 is a wasteful number, since it uses less digits than its factorization.

210221122210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123659483684 (or 123659483677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 210221122210100 its reverse (1012221122012), we get a palindrome (211233343332112).

The spelling of 210221122210100 in words is "two hundred ten trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred ten thousand, one hundred".