101102222112113 has 64 divisors (see below), whose sum is σ = 105538567680000. Its totient is φ = 96786316800000.

The previous prime is 101102222112071. The next prime is 101102222112163. The reversal of 101102222112113 is 311211222201101.

It is a cyclic number.

It is not a de Polignac number, because 101102222112113 - 2⁸ = 101102222111857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101102222112163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134623464488 + ... + 134623465238.

It is an arithmetic number, because the mean of its divisors is an integer number (1649040120000).

Almost surely, 2^{101102222112113} is an apocalyptic number.

It is an amenable number.

101102222112113 is a deficient number, since it is larger than the sum of its proper divisors (4436345567887).

101102222112113 is a wasteful number, since it uses less digits than its factorization.

101102222112113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 101102222112113 its reverse (311211222201101), we get a palindrome (412313444313214).

The spelling of 101102222112113 in words is "one hundred one trillion, one hundred two billion, two hundred twenty-two million, one hundred twelve thousand, one hundred thirteen".