2010010010101 has 2 divisors, whose sum is σ = 2010010010102. Its totient is φ = 2010010010100.

The previous prime is 2010010010023. The next prime is 2010010010117. The reversal of 2010010010101 is 1010100100102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1024852522500 + 985157487601 = 1012350^2 + 992551^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010010010101 - 2²¹ = 2010007912949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2010010010131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005005005050 + 1005005005051.

It is an arithmetic number, because the mean of its divisors is an integer number (1005005005051).

Almost surely, 2^{2010010010101} is an apocalyptic number.

It is an amenable number.

2010010010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010010010101 is an equidigital number, since it uses as much as digits as its factorization.

2010010010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 2010010010101 its reverse (1010100100102), we get a palindrome (3020110110203).

Subtracting from 2010010010101 its reverse (1010100100102), we obtain a palindrome (999909909999).

The spelling of 2010010010101 in words is "two trillion, ten billion, ten million, ten thousand, one hundred one".