10001022100210 has 8 divisors (see below), whose sum is σ = 18001839780396. Its totient is φ = 4000408840080.

The previous prime is 10001022100187. The next prime is 10001022100211. The reversal of 10001022100210 is 1200122010001.

It can be written as a sum of positive squares in 2 ways, for example, as 9915804229969 + 85217870241 = 3148937^2 + 291921^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (10), and also a Moran number because the ratio is a prime number: 1000102210021 = 10001022100210 / (1 + 0 + 0 + 0 + 1 + 0 + 2 + 2 + 1 + 0 + 0 + 2 + 1 + 0).

It is not an unprimeable number, because it can be changed into a prime (10001022100211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500051105001 + ... + 500051105020.

Almost surely, 2^{10001022100210} is an apocalyptic number.

10001022100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001022100210 is a deficient number, since it is larger than the sum of its proper divisors (8000817680186).

10001022100210 is a wasteful number, since it uses less digits than its factorization.

10001022100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000102210028.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10001022100210 its reverse (1200122010001), we get a palindrome (11201144110211).

The spelling of 10001022100210 in words is "ten trillion, one billion, twenty-two million, one hundred thousand, two hundred ten".