10121121100999 has 8 divisors (see below), whose sum is σ = 10200887769600. Its totient is φ = 10041355570176.

The previous prime is 10121121100963. The next prime is 10121121101041. The reversal of 10121121100999 is 99900112112101.

10121121100999 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10121121100999 - 2¹¹ = 10121121098951 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121121110999) 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, 31596867 + ... + 31915579.

It is an arithmetic number, because the mean of its divisors is an integer number (1275110971200).

Almost surely, 2^{10121121100999} is an apocalyptic number.

10121121100999 is a deficient number, since it is larger than the sum of its proper divisors (79766668601).

10121121100999 is a wasteful number, since it uses less digits than its factorization.

10121121100999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568889.

The product of its (nonzero) digits is 2916, while the sum is 37.

The spelling of 10121121100999 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred thousand, nine hundred ninety-nine".