2100122100101 has 4 divisors (see below), whose sum is σ = 2100163004352. Its totient is φ = 2100081195852.

The previous prime is 2100122100049. The next prime is 2100122100143. The reversal of 2100122100101 is 1010012210012.

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 a de Polignac number, because none of the positive numbers 2^k-2100122100101 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 (2100122100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20375015 + ... + 20477828.

It is an arithmetic number, because the mean of its divisors is an integer number (525040751088).

Almost surely, 2^{2100122100101} is an apocalyptic number.

It is an amenable number.

2100122100101 is a deficient number, since it is larger than the sum of its proper divisors (40904251).

2100122100101 is an equidigital number, since it uses as much as digits as its factorization.

2100122100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40904250.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2100122100101 its reverse (1010012210012), we get a palindrome (3110134310113).

The spelling of 2100122100101 in words is "two trillion, one hundred billion, one hundred twenty-two million, one hundred thousand, one hundred one".