100122022001101 has 16 divisors (see below), whose sum is σ = 100717000384000. Its totient is φ = 99527978880000.

The previous prime is 100122022001081. The next prime is 100122022001147. The reversal of 100122022001101 is 101100220221001.

It is a cyclic number.

It is not a de Polignac number, because 100122022001101 - 2⁵ = 100122022001069 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 (100122022005101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4171565101 + ... + 4171589101.

It is an arithmetic number, because the mean of its divisors is an integer number (6294812524000).

Almost surely, 2^{100122022001101} is an apocalyptic number.

It is an amenable number.

100122022001101 is a deficient number, since it is larger than the sum of its proper divisors (594978382899).

100122022001101 is a wasteful number, since it uses less digits than its factorization.

100122022001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42460.

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

Adding to 100122022001101 its reverse (101100220221001), we get a palindrome (201222242222102).

The spelling of 100122022001101 in words is "one hundred trillion, one hundred twenty-two billion, twenty-two million, one thousand, one hundred one".