10121010010 has 16 divisors (see below), whose sum is σ = 19289454696. Its totient is φ = 3810262528.

The previous prime is 10121009923. The next prime is 10121010013. The reversal of 10121010010 is 1001012101.

10121010010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10063901761 + 57108249 = 100319^2 + 7557^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10121009975 and 10121010002.

It is not an unprimeable number, because it can be changed into a prime (10121010013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29767507 + ... + 29767846.

Almost surely, 2^10121010010 is an apocalyptic number.

10121010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10121010010 is a deficient number, since it is larger than the sum of its proper divisors (9168444686).

10121010010 is a wasteful number, since it uses less digits than its factorization.

10121010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59535377.

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

Adding to 10121010010 its reverse (1001012101), we get a palindrome (11122022111).

The spelling of 10121010010 in words is "ten billion, one hundred twenty-one million, ten thousand, ten".