10100210200210 has 32 divisors (see below), whose sum is σ = 19611446308272. Its totient is φ = 3723103180800.

The previous prime is 10100210200207. The next prime is 10100210200219. The reversal of 10100210200210 is 1200201200101.

It can be written as a sum of positive squares in 8 ways, for example, as 5419430353089 + 4680779847121 = 2327967^2 + 2163511^2 .

It is a super-2 number, since 2×10100210200210² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10100210200219) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 64559079 + ... + 64715338.

Almost surely, 2^{10100210200210} is an apocalyptic number.

10100210200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100210200210 is a deficient number, since it is larger than the sum of its proper divisors (9511236108062).

10100210200210 is a wasteful number, since it uses less digits than its factorization.

10100210200210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129275038.

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

Adding to 10100210200210 its reverse (1200201200101), we get a palindrome (11300411400311).

The spelling of 10100210200210 in words is "ten trillion, one hundred billion, two hundred ten million, two hundred thousand, two hundred ten".