100011012210121 has 8 divisors (see below), whose sum is σ = 100022681262600. Its totient is φ = 99999343707648.

The previous prime is 100011012210103. The next prime is 100011012210163. The reversal of 100011012210121 is 121012210110001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11396295705600 + 88614716504521 = 3375840^2 + 9413539^2 .

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 100011012210121 - 2¹⁹ = 100011011685833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011012220121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444086655 + ... + 444311803.

It is an arithmetic number, because the mean of its divisors is an integer number (12502835157825).

Almost surely, 2^{100011012210121} is an apocalyptic number.

It is an amenable number.

100011012210121 is a deficient number, since it is larger than the sum of its proper divisors (11669052479).

100011012210121 is a wasteful number, since it uses less digits than its factorization.

100011012210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275003.

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

Adding to 100011012210121 its reverse (121012210110001), we get a palindrome (221023222320122).

The spelling of 100011012210121 in words is "one hundred trillion, eleven billion, twelve million, two hundred ten thousand, one hundred twenty-one".