2000100122101 has 4 divisors (see below), whose sum is σ = 2105368549600. Its totient is φ = 1894831694604.

The previous prime is 2000100122089. The next prime is 2000100122113. The reversal of 2000100122101 is 1012210010002.

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 an interprime number because it is at equal distance from previous prime (2000100122089) and next prime (2000100122113).

It is a cyclic number.

It is not a de Polignac number, because 2000100122101 - 2²⁷ = 1999965904373 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 (2000100122191) 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, 52634213721 + ... + 52634213758.

It is an arithmetic number, because the mean of its divisors is an integer number (526342137400).

Almost surely, 2^{2000100122101} is an apocalyptic number.

It is an amenable number.

2000100122101 is a deficient number, since it is larger than the sum of its proper divisors (105268427499).

2000100122101 is a wasteful number, since it uses less digits than its factorization.

2000100122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105268427498.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2000100122101 its reverse (1012210010002), we get a palindrome (3012310132103).

The spelling of 2000100122101 in words is "two trillion, one hundred million, one hundred twenty-two thousand, one hundred one".