10101000100210 has 64 divisors (see below), whose sum is σ = 18949959705600. Its totient is φ = 3872256710400.

The previous prime is 10101000100201. The next prime is 10101000100271. The reversal of 10101000100210 is 1200100010101.

It is a junction number, because it is equal to n+sod(n) for n = 10101000100193 and 10101000100202.

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 31 ways as a sum of consecutive naturals, for example, 68486245 + ... + 68633575.

It is an arithmetic number, because the mean of its divisors is an integer number (296093120400).

Almost surely, 2^{10101000100210} is an apocalyptic number.

10101000100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10101000100210 is a deficient number, since it is larger than the sum of its proper divisors (8848959605390).

10101000100210 is a wasteful number, since it uses less digits than its factorization.

10101000100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149507.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10101000100210 its reverse (1200100010101), we get a palindrome (11301100110311).

The spelling of 10101000100210 in words is "ten trillion, one hundred one billion, one hundred thousand, two hundred ten".