10201120011020 has 12 divisors (see below), whose sum is σ = 21422352023184. Its totient is φ = 4080448004400.

The previous prime is 10201120011011. The next prime is 10201120011067. The reversal of 10201120011020 is 2011002110201.

It is a junction number, because it is equal to n+sod(n) for n = 10201120010992 and 10201120011010.

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 3 ways as a sum of consecutive naturals, for example, 255028000256 + ... + 255028000295.

It is an arithmetic number, because the mean of its divisors is an integer number (1785196001932).

Almost surely, 2^{10201120011020} is an apocalyptic number.

10201120011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201120011020 is an abundant number, since it is smaller than the sum of its proper divisors (11221232012164).

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

10201120011020 is a wasteful number, since it uses less digits than its factorization.

10201120011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510056000560 (or 510056000558 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10201120011020 its reverse (2011002110201), we get a palindrome (12212122121221).

The spelling of 10201120011020 in words is "ten trillion, two hundred one billion, one hundred twenty million, eleven thousand, twenty".