10020022010010 has 192 divisors, whose sum is σ = 27385175091456. Its totient is φ = 2537035776000.

The previous prime is 10020022009993. The next prime is 10020022010051. The reversal of 10020022010010 is 1001022002001.

10020022010010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10020022009974 and 10020022010001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 229526685 + ... + 229570335.

It is an arithmetic number, because the mean of its divisors is an integer number (142631120268).

Almost surely, 2^{10020022010010} is an apocalyptic number.

10020022010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020022010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13692587545728).

10020022010010 is an abundant number, since it is smaller than the sum of its proper divisors (17365153081446).

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

10020022010010 is a wasteful number, since it uses less digits than its factorization.

10020022010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44501 (or 44498 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10020022010010 its reverse (1001022002001), we get a palindrome (11021044012011).

The spelling of 10020022010010 in words is "ten trillion, twenty billion, twenty-two million, ten thousand, ten".