210021222100100 has 144 divisors (see below), whose sum is σ = 507377981512080. Its totient is φ = 75088888627200.

The previous prime is 210021222100097. The next prime is 210021222100103. The reversal of 210021222100100 is 1001222120012.

It is an interprime number because it is at equal distance from previous prime (210021222100097) and next prime (210021222100103).

It can be written as a sum of positive squares in 24 ways, for example, as 183765190224004 + 26256031876096 = 13556002^2 + 5124064^2 .

It is not an unprimeable number, because it can be changed into a prime (210021222100103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31911269 + ... + 37925868.

It is an arithmetic number, because the mean of its divisors is an integer number (3523458204945).

Almost surely, 2^{210021222100100} is an apocalyptic number.

210021222100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210021222100100 is an abundant number, since it is smaller than the sum of its proper divisors (297356759411980).

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

210021222100100 is a wasteful number, since it uses less digits than its factorization.

210021222100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69837258 (or 69837251 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210021222100100 its reverse (1001222120012), we get a palindrome (211022444220112).

The spelling of 210021222100100 in words is "two hundred ten trillion, twenty-one billion, two hundred twenty-two million, one hundred thousand, one hundred".