100121201100121 has 16 divisors (see below), whose sum is σ = 104281576248960. Its totient is φ = 96010241564160.

The previous prime is 100121201100119. The next prime is 100121201100127. The reversal of 100121201100121 is 121001102121001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100121201100121 - 2¹ = 100121201100119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100121201100127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17305080 + ... + 22354153.

It is an arithmetic number, because the mean of its divisors is an integer number (6517598515560).

Almost surely, 2^{100121201100121} is an apocalyptic number.

It is an amenable number.

100121201100121 is a deficient number, since it is larger than the sum of its proper divisors (4160375148839).

100121201100121 is a wasteful number, since it uses less digits than its factorization.

100121201100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39659856.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100121201100121 its reverse (121001102121001), we get a palindrome (221122303221122).

The spelling of 100121201100121 in words is "one hundred trillion, one hundred twenty-one billion, two hundred one million, one hundred thousand, one hundred twenty-one".