10011002110020 has 144 divisors (see below), whose sum is σ = 32200066080000. Its totient is φ = 2508885992448.

The previous prime is 10011002110009. The next prime is 10011002110079. The reversal of 10011002110020 is 2001120011001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10011002109984 and 10011002110011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305020 + ... + 4484979.

It is an arithmetic number, because the mean of its divisors is an integer number (223611570000).

Almost surely, 2^{10011002110020} is an apocalyptic number.

10011002110020 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 10011002110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16100033040000).

10011002110020 is an abundant number, since it is smaller than the sum of its proper divisors (22189063969980).

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

10011002110020 is a wasteful number, since it uses less digits than its factorization.

10011002110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4790714 (or 4790709 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10011002110020 its reverse (2001120011001), we get a palindrome (12012122121021).

The spelling of 10011002110020 in words is "ten trillion, eleven billion, two million, one hundred ten thousand, twenty".