10121010010001 has 32 divisors (see below), whose sum is σ = 11513312179200. Its totient is φ = 8813502720000.

The previous prime is 10121010009991. The next prime is 10121010010121. The reversal of 10121010010001 is 10001001012101.

It is a happy number.

It is not a de Polignac number, because 10121010010001 - 2⁶ = 10121010009937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121010310001) 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 31 ways as a sum of consecutive naturals, for example, 129769145 + ... + 129847113.

It is an arithmetic number, because the mean of its divisors is an integer number (359791005600).

Almost surely, 2^{10121010010001} is an apocalyptic number.

10121010010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121010010001 is a deficient number, since it is larger than the sum of its proper divisors (1392302169199).

10121010010001 is a wasteful number, since it uses less digits than its factorization.

10121010010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81881.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10121010010001 its reverse (10001001012101), we get a palindrome (20122011022102).

The spelling of 10121010010001 in words is "ten trillion, one hundred twenty-one billion, ten million, ten thousand, one".