100101002122101 has 16 divisors (see below), whose sum is σ = 133559301380544. Its totient is φ = 66688367220864.

The previous prime is 100101002122097. The next prime is 100101002122111. The reversal of 100101002122101 is 101221200101001.

It is not a de Polignac number, because 100101002122101 - 2² = 100101002122097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101002122111) 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 15 ways as a sum of consecutive naturals, for example, 24709615 + ... + 28473971.

It is an arithmetic number, because the mean of its divisors is an integer number (8347456336284).

Almost surely, 2^{100101002122101} is an apocalyptic number.

It is an amenable number.

100101002122101 is a deficient number, since it is larger than the sum of its proper divisors (33458299258443).

100101002122101 is a wasteful number, since it uses less digits than its factorization.

100101002122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770420.

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

Adding to 100101002122101 its reverse (101221200101001), we get a palindrome (201322202223102).

The spelling of 100101002122101 in words is "one hundred trillion, one hundred one billion, two million, one hundred twenty-two thousand, one hundred one".