10121100102001 has 16 divisors (see below), whose sum is σ = 11695095665280. Its totient is φ = 8579335564800.

The previous prime is 10121100101947. The next prime is 10121100102019. The reversal of 10121100102001 is 10020100112101.

It is a de Polignac number, because none of the positive numbers 2^k-10121100102001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121100102041) 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, 7725376 + ... + 8940001.

It is an arithmetic number, because the mean of its divisors is an integer number (730943479080).

Almost surely, 2^{10121100102001} is an apocalyptic number.

It is an amenable number.

10121100102001 is a deficient number, since it is larger than the sum of its proper divisors (1573995563279).

10121100102001 is a wasteful number, since it uses less digits than its factorization.

10121100102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16666344.

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

Adding to 10121100102001 its reverse (10020100112101), we get a palindrome (20141200214102).

The spelling of 10121100102001 in words is "ten trillion, one hundred twenty-one billion, one hundred million, one hundred two thousand, one".