102000201101 has 2 divisors, whose sum is σ = 102000201102. Its totient is φ = 102000201100.

The previous prime is 102000201091. The next prime is 102000201131. The reversal of 102000201101 is 101102000201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100993662025 + 1006539076 = 317795^2 + 31726^2 .

It is a cyclic number.

It is not a de Polignac number, because 102000201101 - 2³⁴ = 84820331917 is a prime.

It is a super-2 number, since 2×102000201101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102000201131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000100550 + 51000100551.

It is an arithmetic number, because the mean of its divisors is an integer number (51000100551).

Almost surely, 2^102000201101 is an apocalyptic number.

It is an amenable number.

102000201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000201101 is an equidigital number, since it uses as much as digits as its factorization.

102000201101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102000201101 its reverse (101102000201), we get a palindrome (203102201302).

Subtracting from 102000201101 its reverse (101102000201), we obtain a square (898200900 = 29970²).

It can be divided in two parts, 102000201 and 101, that multiplied together give a palindrome (10302020301).

The spelling of 102000201101 in words is "one hundred two billion, two hundred one thousand, one hundred one".