100201210200101 has 8 divisors (see below), whose sum is σ = 100576606940160. Its totient is φ = 99826406037792.

The previous prime is 100201210200031. The next prime is 100201210200109. The reversal of 100201210200101 is 101002012102001.

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 100201210200101 - 2¹⁸ = 100201209937957 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 (100201210200109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147805616 + ... + 148481993.

It is an arithmetic number, because the mean of its divisors is an integer number (12572075867520).

Almost surely, 2^{100201210200101} is an apocalyptic number.

It is an amenable number.

100201210200101 is a deficient number, since it is larger than the sum of its proper divisors (375396740059).

100201210200101 is an equidigital number, since it uses as much as digits as its factorization.

100201210200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296288875.

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

Adding to 100201210200101 its reverse (101002012102001), we get a palindrome (201203222302102).

The spelling of 100201210200101 in words is "one hundred trillion, two hundred one billion, two hundred ten million, two hundred thousand, one hundred one".