1110100212001 has 8 divisors (see below), whose sum is σ = 1211029240608. Its totient is φ = 1009172988000.

The previous prime is 1110100211971. The next prime is 1110100212017. The reversal of 1110100212001 is 1002120010111.

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

It is a cyclic number.

It is not a de Polignac number, because 1110100212001 - 2⁹ = 1110100211489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1110100215001) 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, 1053181 + ... + 1824661.

It is an arithmetic number, because the mean of its divisors is an integer number (151378655076).

Almost surely, 2^{1110100212001} is an apocalyptic number.

1110100212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1110100212001 is a deficient number, since it is larger than the sum of its proper divisors (100929028607).

1110100212001 is a wasteful number, since it uses less digits than its factorization.

1110100212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902303.

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

Adding to 1110100212001 its reverse (1002120010111), we get a palindrome (2112220222112).

The spelling of 1110100212001 in words is "one trillion, one hundred ten billion, one hundred million, two hundred twelve thousand, one".