100110121222001 has 16 divisors (see below), whose sum is σ = 109260748800000. Its totient is φ = 90967786818000.

The previous prime is 100110121221983. The next prime is 100110121222003. The reversal of 100110121222001 is 100222121011001.

It is a cyclic number.

It is not a de Polignac number, because 100110121222001 - 2²⁶ = 100110054113137 is a prime.

It is a super-3 number, since 3×100110121222001³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100110121222003) 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, 238148000 + ... + 238567998.

It is an arithmetic number, because the mean of its divisors is an integer number (6828796800000).

Almost surely, 2^{100110121222001} is an apocalyptic number.

100110121222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100110121222001 is a deficient number, since it is larger than the sum of its proper divisors (9150627577999).

100110121222001 is a wasteful number, since it uses less digits than its factorization.

100110121222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429820.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100110121222001 its reverse (100222121011001), we get a palindrome (200332242233002).

The spelling of 100110121222001 in words is "one hundred trillion, one hundred ten billion, one hundred twenty-one million, two hundred twenty-two thousand, one".