100221211220210 has 32 divisors (see below), whose sum is σ = 185281485186672. Its totient is φ = 39003395408640.

The previous prime is 100221211220183. The next prime is 100221211220269. The reversal of 100221211220210 is 12022112122001.

It can be written as a sum of positive squares in 8 ways, for example, as 42169139725729 + 58052071494481 = 6493777^2 + 7619191^2 .

It is a super-2 number, since 2×100221211220210² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3346124 + ... + 14547816.

Almost surely, 2^{100221211220210} is an apocalyptic number.

100221211220210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100221211220210 is a deficient number, since it is larger than the sum of its proper divisors (85060273966462).

100221211220210 is a wasteful number, since it uses less digits than its factorization.

100221211220210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11225918.

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

Adding to 100221211220210 its reverse (12022112122001), we get a palindrome (112243323342211).

The spelling of 100221211220210 in words is "one hundred trillion, two hundred twenty-one billion, two hundred eleven million, two hundred twenty thousand, two hundred ten".