100110021001213 has 4 divisors (see below), whose sum is σ = 103562090690940. Its totient is φ = 96657951311488.

The previous prime is 100110021001153. The next prime is 100110021001217. The reversal of 100110021001213 is 312100120011001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 70423683501924 + 29686337499289 = 8391882^2 + 5448517^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110021001213 - 2⁹ = 100110021000701 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110021001193 and 100110021001202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110021001217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1726034844820 + ... + 1726034844877.

It is an arithmetic number, because the mean of its divisors is an integer number (25890522672735).

Almost surely, 2^{100110021001213} is an apocalyptic number.

It is an amenable number.

100110021001213 is a deficient number, since it is larger than the sum of its proper divisors (3452069689727).

100110021001213 is an equidigital number, since it uses as much as digits as its factorization.

100110021001213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452069689726.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 100110021001213 its reverse (312100120011001), we get a palindrome (412210141012214).

The spelling of 100110021001213 in words is "one hundred trillion, one hundred ten billion, twenty-one million, one thousand, two hundred thirteen".