1010112112201 has 16 divisors (see below), whose sum is σ = 1067976331200. Its totient is φ = 952727227200.

The previous prime is 1010112112189. The next prime is 1010112112259. The reversal of 1010112112201 is 1022112110101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1010112112201 - 2⁵ = 1010112112169 is a prime.

It is a super-2 number, since 2×1010112112201² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010112112271) 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, 3798915 + ... + 4056103.

It is an arithmetic number, because the mean of its divisors is an integer number (66748520700).

Almost surely, 2^{1010112112201} is an apocalyptic number.

It is an amenable number.

1010112112201 is a deficient number, since it is larger than the sum of its proper divisors (57864218999).

1010112112201 is a wasteful number, since it uses less digits than its factorization.

1010112112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258120.

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

Adding to 1010112112201 its reverse (1022112110101), we get a palindrome (2032224222302).

The spelling of 1010112112201 in words is "one trillion, ten billion, one hundred twelve million, one hundred twelve thousand, two hundred one".