2000201012101 has 32 divisors (see below), whose sum is σ = 2173448076800. Its totient is φ = 1834596267840.

The previous prime is 2000201012011. The next prime is 2000201012113. The reversal of 2000201012101 is 1012101020002.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2000201012101 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 (2000201012141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45376210 + ... + 45420268.

It is an arithmetic number, because the mean of its divisors is an integer number (67920252400).

Almost surely, 2^{2000201012101} is an apocalyptic number.

It is an amenable number.

2000201012101 is a deficient number, since it is larger than the sum of its proper divisors (173247064699).

2000201012101 is a wasteful number, since it uses less digits than its factorization.

2000201012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44609.

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

Adding to 2000201012101 its reverse (1012101020002), we get a palindrome (3012302032103).

It can be divided in two parts, 200020 and 1012101, that added together give a palindrome (1212121).

The spelling of 2000201012101 in words is "two trillion, two hundred one million, twelve thousand, one hundred one".