10000122201120 has 48 divisors (see below), whose sum is σ = 31500384935040. Its totient is φ = 2666699253504.

The previous prime is 10000122201107. The next prime is 10000122201143. The reversal of 10000122201120 is 2110222100001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×10000122201120³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10000122201096 and 10000122201105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10416793480 + ... + 10416794439.

It is an arithmetic number, because the mean of its divisors is an integer number (656258019480).

Almost surely, 2^{10000122201120} is an apocalyptic number.

10000122201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000122201120 is an abundant number, since it is smaller than the sum of its proper divisors (21500262733920).

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

10000122201120 is a wasteful number, since it uses less digits than its factorization.

10000122201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20833587937 (or 20833587929 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10000122201120 its reverse (2110222100001), we get a palindrome (12110344301121).

The spelling of 10000122201120 in words is "ten trillion, one hundred twenty-two million, two hundred one thousand, one hundred twenty".