100111012011201 has 8 divisors (see below), whose sum is σ = 133540965859840. Its totient is φ = 66710866418352.

The previous prime is 100111012011091. The next prime is 100111012011203. The reversal of 100111012011201 is 102110210111001.

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

It is not a de Polignac number, because 100111012011201 - 2¹¹ = 100111012009153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111012011203) 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 7 ways as a sum of consecutive naturals, for example, 7452056110 + ... + 7452069543.

It is an arithmetic number, because the mean of its divisors is an integer number (16692620732480).

Almost surely, 2^{100111012011201} is an apocalyptic number.

It is an amenable number.

100111012011201 is a deficient number, since it is larger than the sum of its proper divisors (33429953848639).

100111012011201 is a wasteful number, since it uses less digits than its factorization.

100111012011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14904127895.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100111012011201 its reverse (102110210111001), we get a palindrome (202221222122202).

The spelling of 100111012011201 in words is "one hundred trillion, one hundred eleven billion, twelve million, eleven thousand, two hundred one".