100122110012001 has 32 divisors (see below), whose sum is σ = 166663817008128. Its totient is φ = 51940528626240.

The previous prime is 100122110011993. The next prime is 100122110012017. The reversal of 100122110012001 is 100210011221001.

It is not a de Polignac number, because 100122110012001 - 2³ = 100122110011993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100122110012801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295484871 + ... + 295823516.

It is an arithmetic number, because the mean of its divisors is an integer number (5208244281504).

Almost surely, 2^{100122110012001} is an apocalyptic number.

100122110012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122110012001 is a deficient number, since it is larger than the sum of its proper divisors (66541706996127).

100122110012001 is a wasteful number, since it uses less digits than its factorization.

100122110012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591309141.

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

Adding to 100122110012001 its reverse (100210011221001), we get a palindrome (200332121233002).

The spelling of 100122110012001 in words is "one hundred trillion, one hundred twenty-two billion, one hundred ten million, twelve thousand, one".