100111110101021 has 8 divisors (see below), whose sum is σ = 103146142637304. Its totient is φ = 97121041009920.

The previous prime is 100111110101003. The next prime is 100111110101047. The reversal of 100111110101021 is 120101011111001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10841965485796 + 89269144615225 = 3292714^2 + 9448235^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100111110101021 - 2⁶ = 100111110100957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111110100993 and 100111110101011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111110101521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11240856776 + ... + 11240865681.

It is an arithmetic number, because the mean of its divisors is an integer number (12893267829663).

Almost surely, 2^{100111110101021} is an apocalyptic number.

It is an amenable number.

100111110101021 is a deficient number, since it is larger than the sum of its proper divisors (3035032536283).

100111110101021 is an equidigital number, since it uses as much as digits as its factorization.

100111110101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22481722591.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100111110101021 its reverse (120101011111001), we get a palindrome (220212121212022).

The spelling of 100111110101021 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, one hundred one thousand, twenty-one".