100110002001121 has 16 divisors (see below), whose sum is σ = 119593830182400. Its totient is φ = 83715681104160.

The previous prime is 100110002001101. The next prime is 100110002001131. The reversal of 100110002001121 is 121100200011001.

It is not a de Polignac number, because 100110002001121 - 2¹³ = 100110001992929 is a prime.

It is a super-3 number, since 3×100110002001121³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100110002001098 and 100110002001107.

It is not an unprimeable number, because it can be changed into a prime (100110002001101) 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, 3559326121 + ... + 3559354246.

It is an arithmetic number, because the mean of its divisors is an integer number (7474614386400).

Almost surely, 2^{100110002001121} is an apocalyptic number.

It is an amenable number.

100110002001121 is a deficient number, since it is larger than the sum of its proper divisors (19483828181279).

100110002001121 is an frugal number, since it uses more digits than its factorization.

100110002001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7118680429 (or 7118680415 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100110002001121 its reverse (121100200011001), we get a palindrome (221210202012122).

The spelling of 100110002001121 in words is "one hundred trillion, one hundred ten billion, two million, one thousand, one hundred twenty-one".