100201010010001 has 8 divisors (see below), whose sum is σ = 100445331283200. Its totient is φ = 99956798183328.

The previous prime is 100201010009963. The next prime is 100201010010151. The reversal of 100201010010001 is 100010010102001.

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 100201010010001 - 2¹¹ = 100201010007953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100201010010901) 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, 25528201 + ... + 29190598.

It is an arithmetic number, because the mean of its divisors is an integer number (12555666410400).

Almost surely, 2^{100201010010001} is an apocalyptic number.

It is an amenable number.

100201010010001 is a deficient number, since it is larger than the sum of its proper divisors (244321273199).

100201010010001 is an equidigital number, since it uses as much as digits as its factorization.

100201010010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54723263.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100201010010001 its reverse (100010010102001), we get a palindrome (200211020112002).

The spelling of 100201010010001 in words is "one hundred trillion, two hundred one billion, ten million, ten thousand, one".