10121100012010 has 256 divisors, whose sum is σ = 20980306005120. Its totient is φ = 3488808960000.

The previous prime is 10121100011963. The next prime is 10121100012017. The reversal of 10121100012010 is 1021000112101.

It can be written as a sum of positive squares in 64 ways, for example, as 284239325881 + 9836860686129 = 533141^2 + 3136377^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10121100012017) 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 127 ways as a sum of consecutive naturals, for example, 4863574170 + ... + 4863576250.

Almost surely, 2^{10121100012010} is an apocalyptic number.

10121100012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10121100012010 is an abundant number, since it is smaller than the sum of its proper divisors (10859205993110).

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

10121100012010 is a wasteful number, since it uses less digits than its factorization.

10121100012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10121100012010 its reverse (1021000112101), we get a palindrome (11142100124111).

The spelling of 10121100012010 in words is "ten trillion, one hundred twenty-one billion, one hundred million, twelve thousand, ten".