201202122110101 has 12 divisors (see below), whose sum is σ = 247819180415148. Its totient is φ = 162314316995712.

The previous prime is 201202122110023. The next prime is 201202122110113. The reversal of 201202122110101 is 101011221202102.

It can be written as a sum of positive squares in 2 ways, for example, as 115511443140625 + 85690678969476 = 10747625^2 + 9256926^2 .

It is not a de Polignac number, because 201202122110101 - 2¹⁷ = 201202121979029 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 (201202122110201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120769580266 + ... + 120769581931.

It is an arithmetic number, because the mean of its divisors is an integer number (20651598367929).

Almost surely, 2^{201202122110101} is an apocalyptic number.

It is an amenable number.

201202122110101 is a deficient number, since it is larger than the sum of its proper divisors (46617058305047).

201202122110101 is a wasteful number, since it uses less digits than its factorization.

201202122110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241539162228 (or 241539162221 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201202122110101 its reverse (101011221202102), we get a palindrome (302213343312203).

The spelling of 201202122110101 in words is "two hundred one trillion, two hundred two billion, one hundred twenty-two million, one hundred ten thousand, one hundred one".