110101010002101 has 10 divisors (see below), whose sum is σ = 164471879139062. Its totient is φ = 73400673334680.

The previous prime is 110101010002099. The next prime is 110101010002103. The reversal of 110101010002101 is 101200010101011.

It is an interprime number because it is at equal distance from previous prime (110101010002099) and next prime (110101010002103).

It can be written as a sum of positive squares in only one way, i.e., 97540294310001 + 12560715692100 = 9876249^2 + 3544110^2 .

It is not a de Polignac number, because 110101010002101 - 2¹ = 110101010002099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101010002103) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 679635864130 + ... + 679635864291.

Almost surely, 2^{110101010002101} is an apocalyptic number.

It is an amenable number.

110101010002101 is a deficient number, since it is larger than the sum of its proper divisors (54370869136961).

110101010002101 is an equidigital number, since it uses as much as digits as its factorization.

110101010002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359271728433 (or 1359271728424 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110101010002101 its reverse (101200010101011), we get a palindrome (211301020103112).

The spelling of 110101010002101 in words is "one hundred ten trillion, one hundred one billion, ten million, two thousand, one hundred one".