10011022120020 has 192 divisors, whose sum is σ = 29687203510272. Its totient is φ = 2516533248000.

The previous prime is 10011022120013. The next prime is 10011022120039. The reversal of 10011022120020 is 2002122011001.

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 = 10011022119978 and 10011022120005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48780262 + ... + 48985058.

It is an arithmetic number, because the mean of its divisors is an integer number (154620851616).

Almost surely, 2^{10011022120020} is an apocalyptic number.

10011022120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011022120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14843601755136).

10011022120020 is an abundant number, since it is smaller than the sum of its proper divisors (19676181390252).

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

10011022120020 is a wasteful number, since it uses less digits than its factorization.

10011022120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205522 (or 205520 counting only the distinct ones).

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

Adding to 10011022120020 its reverse (2002122011001), we get a palindrome (12013144131021).

The spelling of 10011022120020 in words is "ten trillion, eleven billion, twenty-two million, one hundred twenty thousand, twenty".