100121210012001 has 16 divisors (see below), whose sum is σ = 137119810284864. Its totient is φ = 64935486068544.

The previous prime is 100121210011967. The next prime is 100121210012101. The reversal of 100121210012001 is 100210012121001.

It is not a de Polignac number, because 100121210012001 - 2¹³ = 100121210003809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100121210012101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54660975 + ... + 56462948.

It is an arithmetic number, because the mean of its divisors is an integer number (8569988142804).

Almost surely, 2^{100121210012001} is an apocalyptic number.

It is an amenable number.

100121210012001 is a deficient number, since it is larger than the sum of its proper divisors (36998600272863).

100121210012001 is a wasteful number, since it uses less digits than its factorization.

100121210012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111132080.

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

Adding to 100121210012001 its reverse (100210012121001), we get a palindrome (200331222133002).

The spelling of 100121210012001 in words is "one hundred trillion, one hundred twenty-one billion, two hundred ten million, twelve thousand, one".