2101000122101 has 4 divisors (see below), whose sum is σ = 2117038291104. Its totient is φ = 2084961953100.

The previous prime is 2101000122077. The next prime is 2101000122121. The reversal of 2101000122101 is 1012210001012.

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 not a de Polignac number, because 2101000122101 - 2⁶ = 2101000122037 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 (2101000122121) 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, 8019084305 + ... + 8019084566.

It is an arithmetic number, because the mean of its divisors is an integer number (529259572776).

Almost surely, 2^{2101000122101} is an apocalyptic number.

It is an amenable number.

2101000122101 is a deficient number, since it is larger than the sum of its proper divisors (16038169003).

2101000122101 is a wasteful number, since it uses less digits than its factorization.

2101000122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16038169002.

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

Adding to 2101000122101 its reverse (1012210001012), we get a palindrome (3113210123113).

The spelling of 2101000122101 in words is "two trillion, one hundred one billion, one hundred twenty-two thousand, one hundred one".