100122122000101 has 8 divisors (see below), whose sum is σ = 104266486174464. Its totient is φ = 96034921469760.

The previous prime is 100122122000099. The next prime is 100122122000119. The reversal of 100122122000101 is 101000221221001.

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 100122122000101 - 2¹ = 100122122000099 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 (100122122000171) 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, 14290907431 + ... + 14290914436.

It is an arithmetic number, because the mean of its divisors is an integer number (13033310771808).

Almost surely, 2^{100122122000101} is an apocalyptic number.

It is an amenable number.

100122122000101 is a deficient number, since it is larger than the sum of its proper divisors (4144364174363).

100122122000101 is a wasteful number, since it uses less digits than its factorization.

100122122000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28581822011.

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

Adding to 100122122000101 its reverse (101000221221001), we get a palindrome (201122343221102).

The spelling of 100122122000101 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred one", and thus it is an aban number.