100010221012101 has 32 divisors (see below), whose sum is σ = 143851715094528. Its totient is φ = 61640060961600.

The previous prime is 100010221012081. The next prime is 100010221012159. The reversal of 100010221012101 is 101210122010001.

It is not a de Polignac number, because 100010221012101 - 2⁴¹ = 97811197756549 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010221012181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129328431 + ... + 130099436.

It is an arithmetic number, because the mean of its divisors is an integer number (4495366096704).

Almost surely, 2^{100010221012101} is an apocalyptic number.

It is an amenable number.

100010221012101 is a deficient number, since it is larger than the sum of its proper divisors (43841494082427).

100010221012101 is a wasteful number, since it uses less digits than its factorization.

100010221012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259428081.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100010221012101 its reverse (101210122010001), we get a palindrome (201220343022102).

The spelling of 100010221012101 in words is "one hundred trillion, ten billion, two hundred twenty-one million, twelve thousand, one hundred one".