100201020222101 has 8 divisors (see below), whose sum is σ = 100296619683000. Its totient is φ = 100105466086080.

The previous prime is 100201020221987. The next prime is 100201020222139. The reversal of 100201020222101 is 101222020102001.

It can be written as a sum of positive squares in 4 ways, for example, as 14687519704900 + 85513500517201 = 3832430^2 + 9247351^2 .

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 100201020222101 - 2¹⁰ = 100201020221077 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 (100201010222101) 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, 6906830 + ... + 15751391.

It is an arithmetic number, because the mean of its divisors is an integer number (12537077460375).

Almost surely, 2^{100201020222101} is an apocalyptic number.

It is an amenable number.

100201020222101 is a deficient number, since it is larger than the sum of its proper divisors (95599460899).

100201020222101 is a wasteful number, since it uses less digits than its factorization.

100201020222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22662439.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100201020222101 its reverse (101222020102001), we get a palindrome (201423040324102).

The spelling of 100201020222101 in words is "one hundred trillion, two hundred one billion, twenty million, two hundred twenty-two thousand, one hundred one".