100210120010010 has 24 divisors (see below), whose sum is σ = 260546312026260. Its totient is φ = 26722698669312.

The previous prime is 100210120009999. The next prime is 100210120010069. The reversal of 100210120010010 is 10010021012001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 99522950302161 + 687169707849 = 9976119^2 + 828957^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100210120009974 and 100210120010001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556722888855 + ... + 556722889034.

Almost surely, 2^{100210120010010} is an apocalyptic number.

100210120010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100210120010010 is an abundant number, since it is smaller than the sum of its proper divisors (160336192016250).

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

100210120010010 is a wasteful number, since it uses less digits than its factorization.

100210120010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113445777902 (or 1113445777899 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100210120010010 its reverse (10010021012001), we get a palindrome (110220141022011).

The spelling of 100210120010010 in words is "one hundred trillion, two hundred ten billion, one hundred twenty million, ten thousand, ten".