2000101122101 has 8 divisors (see below), whose sum is σ = 2013017904384. Its totient is φ = 1987186584240.

The previous prime is 2000101122083. The next prime is 2000101122163. The reversal of 2000101122101 is 1012211010002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2000101122101 - 2¹⁰ = 2000101121077 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 (2000101122401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1245656 + ... + 2356238.

It is an arithmetic number, because the mean of its divisors is an integer number (251627238048).

Almost surely, 2^{2000101122101} is an apocalyptic number.

It is an amenable number.

2000101122101 is a deficient number, since it is larger than the sum of its proper divisors (12916782283).

2000101122101 is a wasteful number, since it uses less digits than its factorization.

2000101122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122211.

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

Adding to 2000101122101 its reverse (1012211010002), we get a palindrome (3012312132103).

The spelling of 2000101122101 in words is "two trillion, one hundred one million, one hundred twenty-two thousand, one hundred one".