100010210001101 has 8 divisors (see below), whose sum is σ = 102450167479800. Its totient is φ = 97570285096960.

The previous prime is 100010210001073. The next prime is 100010210001113. The reversal of 100010210001101 is 101100012010001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27593956470025 + 72416253531076 = 5252995^2 + 8509774^2 .

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 100010210001101 - 2³⁸ = 99735332094157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010210001601) 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, 1870106 + ... + 14265963.

It is an arithmetic number, because the mean of its divisors is an integer number (12806270934975).

Almost surely, 2^{100010210001101} is an apocalyptic number.

It is an amenable number.

100010210001101 is a deficient number, since it is larger than the sum of its proper divisors (2439957478699).

100010210001101 is a wasteful number, since it uses less digits than its factorization.

100010210001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16287279.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100010210001101 its reverse (101100012010001), we get a palindrome (201110222011102).

The spelling of 100010210001101 in words is "one hundred trillion, ten billion, two hundred ten million, one thousand, one hundred one".