111111212001001 has 8 divisors (see below), whose sum is σ = 111150777524904. Its totient is φ = 111071649607680.

The previous prime is 111111212000981. The next prime is 111111212001019. The reversal of 111111212001001 is 100100212111111.

It can be written as a sum of positive squares in 4 ways, for example, as 80318967547225 + 30792244453776 = 8962085^2 + 5549076^2 .

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 111111212001001 - 2¹⁷ = 111111211869929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111111212011001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71397141 + ... + 72936781.

It is an arithmetic number, because the mean of its divisors is an integer number (13893847190613).

Almost surely, 2^{111111212001001} is an apocalyptic number.

It is an amenable number.

111111212001001 is a deficient number, since it is larger than the sum of its proper divisors (39565523903).

111111212001001 is a wasteful number, since it uses less digits than its factorization.

111111212001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565291.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 111111212001001 its reverse (100100212111111), we get a palindrome (211211424112112).

The spelling of 111111212001001 in words is "one hundred eleven trillion, one hundred eleven billion, two hundred twelve million, one thousand, one".