10020201111120 has 80 divisors (see below), whose sum is σ = 31064519779200. Its totient is φ = 2671890504192.

The previous prime is 10020201111113. The next prime is 10020201111127. The reversal of 10020201111120 is 2111110202001.

It is an interprime number because it is at equal distance from previous prime (10020201111113) and next prime (10020201111127).

It is a tau number, because it is divible by the number of its divisors (80).

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 = 10020201111096 and 10020201111105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020201111127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2690706 + ... + 5223054.

It is an arithmetic number, because the mean of its divisors is an integer number (388306497240).

Almost surely, 2^{10020201111120} is an apocalyptic number.

10020201111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020201111120 is an abundant number, since it is smaller than the sum of its proper divisors (21044318668080).

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

10020201111120 is a wasteful number, since it uses less digits than its factorization.

10020201111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548852 (or 2548846 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10020201111120 its reverse (2111110202001), we get a palindrome (12131311313121).

The spelling of 10020201111120 in words is "ten trillion, twenty billion, two hundred one million, one hundred eleven thousand, one hundred twenty".