100122112000001 has 16 divisors (see below), whose sum is σ = 123227621147904. Its totient is φ = 79217233965504.

The previous prime is 100122111999971. The next prime is 100122112000003. The reversal of 100122112000001 is 100000211221001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100122112000001 is a prime.

It is a super-2 number, since 2×100122112000001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100122112000003) 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, 28744340 + ... + 32038746.

It is an arithmetic number, because the mean of its divisors is an integer number (7701726321744).

Almost surely, 2^{100122112000001} is an apocalyptic number.

It is an amenable number.

100122112000001 is a deficient number, since it is larger than the sum of its proper divisors (23105509147903).

100122112000001 is a wasteful number, since it uses less digits than its factorization.

100122112000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628400.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100122112000001 its reverse (100000211221001), we get a palindrome (200122323221002).

The spelling of 100122112000001 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twelve million, one", and thus it is an aban number.