2101000110121 has 8 divisors (see below), whose sum is σ = 2292049980000. Its totient is φ = 1909958550240.

The previous prime is 2101000110103. The next prime is 2101000110127. The reversal of 2101000110121 is 1210110001012.

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 2101000110121 - 2¹³ = 2101000101929 is a prime.

It is a super-4 number, since 4×2101000110121⁴ (a number of 50 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101000110098 and 2101000110107.

It is not an unprimeable number, because it can be changed into a prime (2101000110127) 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 7 ways as a sum of consecutive naturals, for example, 1542871 + ... + 2565628.

It is an arithmetic number, because the mean of its divisors is an integer number (286506247500).

Almost surely, 2^{2101000110121} is an apocalyptic number.

It is an amenable number.

2101000110121 is a deficient number, since it is larger than the sum of its proper divisors (191049869879).

2101000110121 is a wasteful number, since it uses less digits than its factorization.

2101000110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154999.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2101000110121 its reverse (1210110001012), we get a palindrome (3311110111133).

The spelling of 2101000110121 in words is "two trillion, one hundred one billion, one hundred ten thousand, one hundred twenty-one".