100121220001001 has 8 divisors (see below), whose sum is σ = 100336479598080. Its totient is φ = 99905986397632.

The previous prime is 100121220000979. The next prime is 100121220001081. The reversal of 100121220001001 is 100100022121001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100121220001001 - 2⁶ = 100121220000937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100121220001081) 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 7 ways as a sum of consecutive naturals, for example, 1223201 + ... + 14203473.

It is an arithmetic number, because the mean of its divisors is an integer number (12542059949760).

Almost surely, 2^{100121220001001} is an apocalyptic number.

It is an amenable number.

100121220001001 is a deficient number, since it is larger than the sum of its proper divisors (215259597079).

100121220001001 is a wasteful number, since it uses less digits than its factorization.

100121220001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12996855.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100121220001001 its reverse (100100022121001), we get a palindrome (200221242122002).

The spelling of 100121220001001 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty million, one thousand, one".