10201101122120 has 64 divisors (see below), whose sum is σ = 23125731174000. Its totient is φ = 4049722728448.

The previous prime is 10201101122099. The next prime is 10201101122129. The reversal of 10201101122120 is 2122110110201.

It can be written as a sum of positive squares in 8 ways, for example, as 3565850615716 + 6635250506404 = 1888346^2 + 2575898^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10201101122095 and 10201101122104.

It is not an unprimeable number, because it can be changed into a prime (10201101122129) 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, 2642096 + ... + 5232864.

Almost surely, 2^{10201101122120} is an apocalyptic number.

10201101122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201101122120 is an abundant number, since it is smaller than the sum of its proper divisors (12924630051880).

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

10201101122120 is a wasteful number, since it uses less digits than its factorization.

10201101122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591522 (or 2591518 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10201101122120 its reverse (2122110110201), we get a palindrome (12323211232321).

The spelling of 10201101122120 in words is "ten trillion, two hundred one billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty".