100201202010101 has 2 divisors, whose sum is σ = 100201202010102. Its totient is φ = 100201202010100.

The previous prime is 100201202010001. The next prime is 100201202010113. The reversal of 100201202010101 is 101010202102001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67012069488100 + 33189132522001 = 8186090^2 + 5761001^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201202010101 - 2²⁶ = 100201134901237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100201202010001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100601005050 + 50100601005051.

It is an arithmetic number, because the mean of its divisors is an integer number (50100601005051).

Almost surely, 2^{100201202010101} is an apocalyptic number.

It is an amenable number.

100201202010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201202010101 is an equidigital number, since it uses as much as digits as its factorization.

100201202010101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100201202010101 its reverse (101010202102001), we get a palindrome (201211404112102).

The spelling of 100201202010101 in words is "one hundred trillion, two hundred one billion, two hundred two million, ten thousand, one hundred one".