210221102101000 has 32 divisors (see below), whose sum is σ = 491917378918680. Its totient is φ = 84088440840000.

The previous prime is 210221102100937. The next prime is 210221102101013. The reversal of 210221102101000 is 101201122012.

210221102101000 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 4 ways, for example, as 58111257209476 + 152109844891524 = 7623074^2 + 12333282^2 .

It is a super-2 number, since 2×210221102101000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105110550051 + ... + 105110552050.

Almost surely, 2^{210221102101000} is an apocalyptic number.

210221102101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210221102101000 is an abundant number, since it is smaller than the sum of its proper divisors (281696276817680).

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

210221102101000 is a wasteful number, since it uses less digits than its factorization.

210221102101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210221102122 (or 210221102108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 210221102101000 its reverse (101201122012), we get a palindrome (210322303223012).

The spelling of 210221102101000 in words is "two hundred ten trillion, two hundred twenty-one billion, one hundred two million, one hundred one thousand".