10100222220010 has 32 divisors (see below), whose sum is σ = 19585623491280. Its totient is φ = 3728030688768.

The previous prime is 10100222220001. The next prime is 10100222220017. The reversal of 10100222220010 is 1002222200101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6647883565801 + 3452338654209 = 2578349^2 + 1858047^2 .

It is a super-3 number, since 3×10100222220010³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10100222220017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12975907 + ... + 13732246.

Almost surely, 2^{10100222220010} is an apocalyptic number.

10100222220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100222220010 is a deficient number, since it is larger than the sum of its proper divisors (9485401271270).

10100222220010 is a wasteful number, since it uses less digits than its factorization.

10100222220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26711082.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10100222220010 its reverse (1002222200101), we get a palindrome (11102444420111).

The spelling of 10100222220010 in words is "ten trillion, one hundred billion, two hundred twenty-two million, two hundred twenty thousand, ten".