10220002100010 has 96 divisors (see below), whose sum is σ = 27035891700480. Its totient is φ = 2678082825600.

The previous prime is 10220002100003. The next prime is 10220002100027. The reversal of 10220002100010 is 1000120002201.

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 = 10220002099965 and 10220002100001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1905981 + ... + 4906400.

It is an arithmetic number, because the mean of its divisors is an integer number (281623871880).

Almost surely, 2^{10220002100010} is an apocalyptic number.

10220002100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10220002100010 is an abundant number, since it is smaller than the sum of its proper divisors (16815889600470).

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

10220002100010 is a wasteful number, since it uses less digits than its factorization.

10220002100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6812684 (or 6812681 counting only the distinct ones).

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

Adding to 10220002100010 its reverse (1000120002201), we get a palindrome (11220122102211).

The spelling of 10220002100010 in words is "ten trillion, two hundred twenty billion, two million, one hundred thousand, ten".