10201112110122 has 32 divisors (see below), whose sum is σ = 21464699989824. Its totient is φ = 3227774428800.

The previous prime is 10201112110121. The next prime is 10201112110127. The reversal of 10201112110122 is 22101121110201.

It is a happy number.

It is a super-3 number, since 3×10201112110122³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10201112110121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 560368404 + ... + 560386607.

It is an arithmetic number, because the mean of its divisors is an integer number (670771874682).

Almost surely, 2^{10201112110122} is an apocalyptic number.

10201112110122 is an abundant number, since it is smaller than the sum of its proper divisors (11263587879702).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10201112110122 is a wasteful number, since it uses less digits than its factorization.

10201112110122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120755094.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10201112110122 its reverse (22101121110201), we get a palindrome (32302233220323).

The spelling of 10201112110122 in words is "ten trillion, two hundred one billion, one hundred twelve million, one hundred ten thousand, one hundred twenty-two".