10121100212001 has 16 divisors (see below), whose sum is σ = 13860066949568. Its totient is φ = 6564781080000.

The previous prime is 10121100211993. The next prime is 10121100212033. The reversal of 10121100212001 is 10021200112101.

It is not a de Polignac number, because 10121100212001 - 2³ = 10121100211993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121100213001) 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 15 ways as a sum of consecutive naturals, for example, 1086126 + ... + 4628376.

It is an arithmetic number, because the mean of its divisors is an integer number (866254184348).

Almost surely, 2^{10121100212001} is an apocalyptic number.

It is an amenable number.

10121100212001 is a deficient number, since it is larger than the sum of its proper divisors (3738966737567).

10121100212001 is a wasteful number, since it uses less digits than its factorization.

10121100212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568032.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10121100212001 its reverse (10021200112101), we get a palindrome (20142300324102).

The spelling of 10121100212001 in words is "ten trillion, one hundred twenty-one billion, one hundred million, two hundred twelve thousand, one".