101111111200001 has 8 divisors (see below), whose sum is σ = 121637427007680. Its totient is φ = 82105263229968.

The previous prime is 101111111199919. The next prime is 101111111200031. The reversal of 101111111200001 is 100002111111101.

It is a happy number.

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 101111111200001 - 2¹⁴ = 101111111183617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111111200031) 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, 380116959266 + ... + 380116959531.

It is an arithmetic number, because the mean of its divisors is an integer number (15204678375960).

Almost surely, 2^{101111111200001} is an apocalyptic number.

It is an amenable number.

101111111200001 is a deficient number, since it is larger than the sum of its proper divisors (20526315807679).

101111111200001 is an equidigital number, since it uses as much as digits as its factorization.

101111111200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760233918823.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101111111200001 its reverse (100002111111101), we get a palindrome (201113222311102).

The spelling of 101111111200001 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, two hundred thousand, one".