100010102102210 has 32 divisors (see below), whose sum is σ = 183153459595392. Its totient is φ = 39313242483840.

The previous prime is 100010102102201. The next prime is 100010102102219. The reversal of 100010102102210 is 12201201010001.

It is an interprime number because it is at equal distance from previous prime (100010102102201) and next prime (100010102102219).

It is a super-2 number, since 2×100010102102210² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100010102102191 and 100010102102200.

It is not an unprimeable number, because it can be changed into a prime (100010102102219) 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, 370465019 + ... + 370734878.

It is an arithmetic number, because the mean of its divisors is an integer number (5723545612356).

Almost surely, 2^{100010102102210} is an apocalyptic number.

100010102102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100010102102210 is a deficient number, since it is larger than the sum of its proper divisors (83143357493182).

100010102102210 is a wasteful number, since it uses less digits than its factorization.

100010102102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741200138.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100010102102210 its reverse (12201201010001), we get a palindrome (112211303112211).

The spelling of 100010102102210 in words is "one hundred trillion, ten billion, one hundred two million, one hundred two thousand, two hundred ten".