10101022200210 has 128 divisors (see below), whose sum is σ = 25378062151680. Its totient is φ = 2568195438336.

The previous prime is 10101022200197. The next prime is 10101022200257. The reversal of 10101022200210 is 1200222010101.

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 63 ways as a sum of consecutive naturals, for example, 287703477 + ... + 287738583.

It is an arithmetic number, because the mean of its divisors is an integer number (198266110560).

Almost surely, 2^{10101022200210} is an apocalyptic number.

10101022200210 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 10101022200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12689031075840).

10101022200210 is an abundant number, since it is smaller than the sum of its proper divisors (15277039951470).

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

10101022200210 is a wasteful number, since it uses less digits than its factorization.

10101022200210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36472.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10101022200210 its reverse (1200222010101), we get a palindrome (11301244210311).

The spelling of 10101022200210 in words is "ten trillion, one hundred one billion, twenty-two million, two hundred thousand, two hundred ten".