100010100000001 has 8 divisors (see below), whose sum is σ = 101050077580200. Its totient is φ = 98971098470400.

The previous prime is 100010099999899. The next prime is 100010100000023. The reversal of 100010100000001 is 100000001010001.

It can be written as a sum of positive squares in 4 ways, for example, as 74940601766976 + 25069498233025 = 8656824^2 + 5006945^2 .

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 100010100000001 - 2²¹ = 100010097902849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100010100000071) 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, 243806656 + ... + 244216513.

It is an arithmetic number, because the mean of its divisors is an integer number (12631259697525).

Almost surely, 2^{100010100000001} is an apocalyptic number.

It is an amenable number.

100010100000001 is a deficient number, since it is larger than the sum of its proper divisors (1039977580199).

100010100000001 is a wasteful number, since it uses less digits than its factorization.

100010100000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488025299.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100010100000001 its reverse (100000001010001), we get a palindrome (200010101010002).

The spelling of 100010100000001 in words is "one hundred trillion, ten billion, one hundred million, one", and thus it is an aban number.