100012002122101 has 8 divisors (see below), whose sum is σ = 100190113894080. Its totient is φ = 99833916655968.

The previous prime is 100012002122099. The next prime is 100012002122113. The reversal of 100012002122101 is 101221200210001.

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 100012002122101 - 2¹ = 100012002122099 is a prime.

It is a super-2 number, since 2×100012002122101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012002122141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1041945 + ... + 14181313.

It is an arithmetic number, because the mean of its divisors is an integer number (12523764236760).

Almost surely, 2^{100012002122101} is an apocalyptic number.

It is an amenable number.

100012002122101 is a deficient number, since it is larger than the sum of its proper divisors (178111771979).

100012002122101 is a wasteful number, since it uses less digits than its factorization.

100012002122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13152923.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100012002122101 its reverse (101221200210001), we get a palindrome (201233202332102).

The spelling of 100012002122101 in words is "one hundred trillion, twelve billion, two million, one hundred twenty-two thousand, one hundred one".