101112121111201 has 4 divisors (see below), whose sum is σ = 101112644315392. Its totient is φ = 101111597907012.

The previous prime is 101112121111163. The next prime is 101112121111271. The reversal of 101112121111201 is 102111121211101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101112121111201 - 2¹⁹ = 101112120586913 is a prime.

It is a super-2 number, since 2×101112121111201² (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 (101112121111271) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 261312105 + ... + 261698758.

It is an arithmetic number, because the mean of its divisors is an integer number (25278161078848).

Almost surely, 2^{101112121111201} is an apocalyptic number.

It is an amenable number.

101112121111201 is a deficient number, since it is larger than the sum of its proper divisors (523204191).

101112121111201 is an equidigital number, since it uses as much as digits as its factorization.

101112121111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523204190.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 101112121111201 its reverse (102111121211101), we get a palindrome (203223242322302).

The spelling of 101112121111201 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, one hundred eleven thousand, two hundred one".