100201012100101 has 8 divisors (see below), whose sum is σ = 109322219128608. Its totient is φ = 91081809090000.

The previous prime is 100201012100083. The next prime is 100201012100159. The reversal of 100201012100101 is 101001210102001.

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 100201012100101 - 2¹⁵ = 100201012067333 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 (100201012100801) 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, 500900050 + ... + 501100051.

It is an arithmetic number, because the mean of its divisors is an integer number (13665277391076).

Almost surely, 2^{100201012100101} is an apocalyptic number.

100201012100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100201012100101 is a deficient number, since it is larger than the sum of its proper divisors (9121207028507).

100201012100101 is a wasteful number, since it uses less digits than its factorization.

100201012100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002009203.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100201012100101 its reverse (101001210102001), we get a palindrome (201202222202102).

The spelling of 100201012100101 in words is "one hundred trillion, two hundred one billion, twelve million, one hundred thousand, one hundred one".