1100100112121 has 8 divisors (see below), whose sum is σ = 1143208608000. Its totient is φ = 1057467953520.

The previous prime is 1100100112103. The next prime is 1100100112123. The reversal of 1100100112121 is 1212110010011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1100100112121 is a prime.

It is a super-2 number, since 2×1100100112121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100100112123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119079611 + ... + 119088848.

It is an arithmetic number, because the mean of its divisors is an integer number (142901076000).

Almost surely, 2^{1100100112121} is an apocalyptic number.

It is an amenable number.

1100100112121 is a deficient number, since it is larger than the sum of its proper divisors (43108495879).

1100100112121 is a wasteful number, since it uses less digits than its factorization.

1100100112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238168639.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1100100112121 its reverse (1212110010011), we get a palindrome (2312210122132).

The spelling of 1100100112121 in words is "one trillion, one hundred billion, one hundred million, one hundred twelve thousand, one hundred twenty-one".