100101020102201 has 8 divisors (see below), whose sum is σ = 104502804918600. Its totient is φ = 95762570319360.

The previous prime is 100101020102191. The next prime is 100101020102219. The reversal of 100101020102201 is 102201020101001.

It can be written as a sum of positive squares in 4 ways, for example, as 7311340194601 + 92789679907600 = 2703949^2 + 9632740^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101020102201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101020102221) 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, 15833755160 + ... + 15833761481.

It is an arithmetic number, because the mean of its divisors is an integer number (13062850614825).

Almost surely, 2^{100101020102201} is an apocalyptic number.

It is an amenable number.

100101020102201 is a deficient number, since it is larger than the sum of its proper divisors (4401784816399).

100101020102201 is a wasteful number, since it uses less digits than its factorization.

100101020102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31667516779.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100101020102201 its reverse (102201020101001), we get a palindrome (202302040203202).

The spelling of 100101020102201 in words is "one hundred trillion, one hundred one billion, twenty million, one hundred two thousand, two hundred one".