100001102102021 has 24 divisors (see below), whose sum is σ = 105910514400600. Its totient is φ = 94362046156800.

The previous prime is 100001102102003. The next prime is 100001102102029. The reversal of 100001102102021 is 120201201100001.

It can be written as a sum of positive squares in 4 ways, for example, as 5201455648900 + 94799646453121 = 2280670^2 + 9736511^2 .

It is not a de Polignac number, because 100001102102021 - 2¹⁰ = 100001102100997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001102101993 and 100001102102011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001102102029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69779045 + ... + 71197733.

It is an arithmetic number, because the mean of its divisors is an integer number (4412938100025).

Almost surely, 2^{100001102102021} is an apocalyptic number.

It is an amenable number.

100001102102021 is a deficient number, since it is larger than the sum of its proper divisors (5909412298579).

100001102102021 is a wasteful number, since it uses less digits than its factorization.

100001102102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420581 (or 1420550 counting only the distinct ones).

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

Adding to 100001102102021 its reverse (120201201100001), we get a palindrome (220202303202022).

The spelling of 100001102102021 in words is "one hundred trillion, one billion, one hundred two million, one hundred two thousand, twenty-one".