100221120001010 has 32 divisors (see below), whose sum is σ = 186622816978800. Its totient is φ = 38705220816640.

The previous prime is 100221120000997. The next prime is 100221120001061. The reversal of 100221120001010 is 10100021122001.

It can be written as a sum of positive squares in 8 ways, for example, as 60669938606281 + 39551181394729 = 7789091^2 + 6288973^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100221120000982 and 100221120001000.

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, 9175940 + ... + 16871280.

Almost surely, 2^{100221120001010} is an apocalyptic number.

100221120001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100221120001010 is a deficient number, since it is larger than the sum of its proper divisors (86401696977790).

100221120001010 is a wasteful number, since it uses less digits than its factorization.

100221120001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7740286.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100221120001010 its reverse (10100021122001), we get a palindrome (110321141123011).

The spelling of 100221120001010 in words is "one hundred trillion, two hundred twenty-one billion, one hundred twenty million, one thousand, ten".