100201000101001 has 8 divisors (see below), whose sum is σ = 100367426009120. Its totient is φ = 100034588872512.

The previous prime is 100201000100989. The next prime is 100201000101019. The reversal of 100201000101001 is 100101000102001.

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 100201000101001 - 2⁴¹ = 98001976845449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100201000101031) 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, 10035601 + ... + 17352673.

It is an arithmetic number, because the mean of its divisors is an integer number (12545928251140).

Almost surely, 2^{100201000101001} is an apocalyptic number.

It is an amenable number.

100201000101001 is a deficient number, since it is larger than the sum of its proper divisors (166425908119).

100201000101001 is an equidigital number, since it uses as much as digits as its factorization.

100201000101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7339815.

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

Adding to 100201000101001 its reverse (100101000102001), we get a palindrome (200302000203002).

The spelling of 100201000101001 in words is "one hundred trillion, two hundred one billion, one hundred one thousand, one".