2121111102101 has 4 divisors (see below), whose sum is σ = 2146666657632. Its totient is φ = 2095555546572.

The previous prime is 2121111102013. The next prime is 2121111102107. The reversal of 2121111102101 is 1012011111212.

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 2121111102101 - 2¹⁰ = 2121111101077 is a prime.

It is a super-2 number, since 2×2121111102101² (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 (2121111102107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12777777641 + ... + 12777777806.

It is an arithmetic number, because the mean of its divisors is an integer number (536666664408).

Almost surely, 2^{2121111102101} is an apocalyptic number.

It is an amenable number.

2121111102101 is a deficient number, since it is larger than the sum of its proper divisors (25555555531).

2121111102101 is an equidigital number, since it uses as much as digits as its factorization.

2121111102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25555555530.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2121111102101 its reverse (1012011111212), we get a palindrome (3133122213313).

The spelling of 2121111102101 in words is "two trillion, one hundred twenty-one billion, one hundred eleven million, one hundred two thousand, one hundred one".