10201121122120 has 64 divisors (see below), whose sum is σ = 24368891316480. Its totient is φ = 3829957610496.

The previous prime is 10201121122109. The next prime is 10201121122121. The reversal of 10201121122120 is 2122112110201.

It is a junction number, because it is equal to n+sod(n) for n = 10201121122094 and 10201121122103.

It is not an unprimeable number, because it can be changed into a prime (10201121122121) 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, 20188654 + ... + 20687773.

It is an arithmetic number, because the mean of its divisors is an integer number (380763926820).

Almost surely, 2^{10201121122120} is an apocalyptic number.

10201121122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201121122120 is an abundant number, since it is smaller than the sum of its proper divisors (14167770194360).

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

10201121122120 is a wasteful number, since it uses less digits than its factorization.

10201121122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40876822 (or 40876818 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10201121122120 its reverse (2122112110201), we get a palindrome (12323233232321).

The spelling of 10201121122120 in words is "ten trillion, two hundred one billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty".