2000101101121 has 2 divisors, whose sum is σ = 2000101101122. Its totient is φ = 2000101101120.

The previous prime is 2000101101079. The next prime is 2000101101137. The reversal of 2000101101121 is 1211011010002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1597352210496 + 402748890625 = 1263864^2 + 634625^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000101101121 - 2⁷ = 2000101100993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2000101101098 and 2000101101107.

It is not a weakly prime, because it can be changed into another prime (2000101101421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000050550560 + 1000050550561.

It is an arithmetic number, because the mean of its divisors is an integer number (1000050550561).

Almost surely, 2^{2000101101121} is an apocalyptic number.

It is an amenable number.

2000101101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000101101121 is an equidigital number, since it uses as much as digits as its factorization.

2000101101121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2000101101121 its reverse (1211011010002), we get a palindrome (3211112111123).

The spelling of 2000101101121 in words is "two trillion, one hundred one million, one hundred one thousand, one hundred twenty-one".