2100121121101 has 4 divisors (see below), whose sum is σ = 2135716394400. Its totient is φ = 2064525847804.

The previous prime is 2100121121099. The next prime is 2100121121107. The reversal of 2100121121101 is 1011211210012.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2100121121101 - 2¹ = 2100121121099 is a prime.

It is a super-2 number, since 2×2100121121101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100121121107) 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 3 ways as a sum of consecutive naturals, for example, 17797636561 + ... + 17797636678.

It is an arithmetic number, because the mean of its divisors is an integer number (533929098600).

Almost surely, 2^{2100121121101} is an apocalyptic number.

It is an amenable number.

2100121121101 is a deficient number, since it is larger than the sum of its proper divisors (35595273299).

2100121121101 is an equidigital number, since it uses as much as digits as its factorization.

2100121121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35595273298.

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

Adding to 2100121121101 its reverse (1011211210012), we get a palindrome (3111332331113).

It can be divided in two parts, 2100121 and 121101, that added together give a palindrome (2221222).

The spelling of 2100121121101 in words is "two trillion, one hundred billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred one".