10022100020010 has 512 divisors, whose sum is σ = 29668401100800. Its totient is φ = 2392290754560.

The previous prime is 10022100019973. The next prime is 10022100020071. The reversal of 10022100020010 is 1002000122001.

It is a super-2 number, since 2×10022100020010² (a number of 27 digits) contains 22 as substring.

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 = 10022100019974 and 10022100020001.

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 255 ways as a sum of consecutive naturals, for example, 10788051226 + ... + 10788052154.

It is an arithmetic number, because the mean of its divisors is an integer number (57946095900).

Almost surely, 2^{10022100020010} is an apocalyptic number.

10022100020010 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 10022100020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14834200550400).

10022100020010 is an abundant number, since it is smaller than the sum of its proper divisors (19646301080790).

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

10022100020010 is a wasteful number, since it uses less digits than its factorization.

10022100020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1689 counting only the distinct ones).

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

Adding to 10022100020010 its reverse (1002000122001), we get a palindrome (11024100142011).

The spelling of 10022100020010 in words is "ten trillion, twenty-two billion, one hundred million, twenty thousand, ten".