100220121012010 has 32 divisors (see below), whose sum is σ = 181993948457040. Its totient is φ = 39733002236928.

The previous prime is 100220121012001. The next prime is 100220121012019. The reversal of 100220121012010 is 10210121022001.

It is an interprime number because it is at equal distance from previous prime (100220121012001) and next prime (100220121012019).

It can be written as a sum of positive squares in 8 ways, for example, as 36153751814401 + 64066369197609 = 6012799^2 + 8004147^2 .

It is not an unprimeable number, because it can be changed into a prime (100220121012019) by changing a digit.

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, 233710476 + ... + 234138904.

Almost surely, 2^{100220121012010} is an apocalyptic number.

100220121012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100220121012010 is a deficient number, since it is larger than the sum of its proper divisors (81773827445030).

100220121012010 is a wasteful number, since it uses less digits than its factorization.

100220121012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635562.

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

Adding to 100220121012010 its reverse (10210121022001), we get a palindrome (110430242034011).

Subtracting from 100220121012010 its reverse (10210121022001), we obtain a palindrome (90009999990009).

The spelling of 100220121012010 in words is "one hundred trillion, two hundred twenty billion, one hundred twenty-one million, twelve thousand, ten".