111121202100001 has 8 divisors (see below), whose sum is σ = 113247867980520. Its totient is φ = 108995648790912.

The previous prime is 111121202099953. The next prime is 111121202100047. The reversal of 111121202100001 is 100001202121111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59842369566225 + 51278832533776 = 7735785^2 + 7160924^2 .

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 111121202100001 - 2⁹ = 111121202099489 is a prime.

It is a super-2 number, since 2×111121202100001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111121202103001) 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, 277941190 + ... + 278340703.

It is an arithmetic number, because the mean of its divisors is an integer number (14155983497565).

Almost surely, 2^{111121202100001} is an apocalyptic number.

It is an amenable number.

111121202100001 is a deficient number, since it is larger than the sum of its proper divisors (2126665880519).

111121202100001 is an equidigital number, since it uses as much as digits as its factorization.

111121202100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556285715.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 111121202100001 its reverse (100001202121111), we get a palindrome (211122404221112).

The spelling of 111121202100001 in words is "one hundred eleven trillion, one hundred twenty-one billion, two hundred two million, one hundred thousand, one".