2002010112101 has 2 divisors, whose sum is σ = 2002010112102. Its totient is φ = 2002010112100.

The previous prime is 2002010112041. The next prime is 2002010112103. The reversal of 2002010112101 is 1012110102002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1014550548001 + 987459564100 = 1007249^2 + 993710^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002010112101 - 2²² = 2002005917797 is a prime.

Together with 2002010112103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002010112103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001005056050 + 1001005056051.

It is an arithmetic number, because the mean of its divisors is an integer number (1001005056051).

Almost surely, 2^{2002010112101} is an apocalyptic number.

It is an amenable number.

2002010112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002010112101 is an equidigital number, since it uses as much as digits as its factorization.

2002010112101 is an evil number, because the sum of its binary digits is even.

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

Adding to 2002010112101 its reverse (1012110102002), we get a palindrome (3014120214103).

The spelling of 2002010112101 in words is "two trillion, two billion, ten million, one hundred twelve thousand, one hundred one".