101112211010201 has 16 divisors (see below), whose sum is σ = 107122280716800. Its totient is φ = 95297598648000.

The previous prime is 101112211010191. The next prime is 101112211010257. The reversal of 101112211010201 is 102010112211101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101112211010201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112211010801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242898161 + ... + 243314078.

It is an arithmetic number, because the mean of its divisors is an integer number (6695142544800).

Almost surely, 2^{101112211010201} is an apocalyptic number.

It is an amenable number.

101112211010201 is a deficient number, since it is larger than the sum of its proper divisors (6010069706599).

101112211010201 is a wasteful number, since it uses less digits than its factorization.

101112211010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486212440.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101112211010201 its reverse (102010112211101), we get a palindrome (203122323221302).

The spelling of 101112211010201 in words is "one hundred one trillion, one hundred twelve billion, two hundred eleven million, ten thousand, two hundred one".