100210002121010 has 16 divisors (see below), whose sum is σ = 180382974520536. Its totient is φ = 40082896247808.

The previous prime is 100210002121007. The next prime is 100210002121067. The reversal of 100210002121010 is 10121200012001.

It can be written as a sum of positive squares in 4 ways, for example, as 50384911722289 + 49825090398721 = 7098233^2 + 7058689^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100210002120982 and 100210002121000.

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 7 ways as a sum of consecutive naturals, for example, 137693999 + ... + 138419858.

Almost surely, 2^{100210002121010} is an apocalyptic number.

100210002121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100210002121010 is a deficient number, since it is larger than the sum of its proper divisors (80172972399526).

100210002121010 is a wasteful number, since it uses less digits than its factorization.

100210002121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276150157.

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

Adding to 100210002121010 its reverse (10121200012001), we get a palindrome (110331202133011).

The spelling of 100210002121010 in words is "one hundred trillion, two hundred ten billion, two million, one hundred twenty-one thousand, ten".