2011111202101 has 4 divisors (see below), whose sum is σ = 2035341457632. Its totient is φ = 1986880946572.

The previous prime is 2011111202077. The next prime is 2011111202123. The reversal of 2011111202101 is 1012021111102.

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 2011111202101 - 2¹⁹ = 2011110677813 is a prime.

It is a super-2 number, since 2×2011111202101² (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 (2011111202501) 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, 12115127641 + ... + 12115127806.

It is an arithmetic number, because the mean of its divisors is an integer number (508835364408).

Almost surely, 2^{2011111202101} is an apocalyptic number.

It is an amenable number.

2011111202101 is a deficient number, since it is larger than the sum of its proper divisors (24230255531).

2011111202101 is an equidigital number, since it uses as much as digits as its factorization.

2011111202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24230255530.

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

Adding to 2011111202101 its reverse (1012021111102), we get a palindrome (3023132313203).

Subtracting from 2011111202101 its reverse (1012021111102), we obtain a palindrome (999090090999).

The spelling of 2011111202101 in words is "two trillion, eleven billion, one hundred eleven million, two hundred two thousand, one hundred one".