102000101101 has 2 divisors, whose sum is σ = 102000101102. Its totient is φ = 102000101100.

The previous prime is 102000101081. The next prime is 102000101149. The reversal of 102000101101 is 101101000201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76106463876 + 25893637225 = 275874^2 + 160915^2 .

It is a cyclic number.

It is not a de Polignac number, because 102000101101 - 2²⁹ = 101463230189 is a prime.

It is a super-2 number, since 2×102000101101² (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 (102000171101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000050550 + 51000050551.

It is an arithmetic number, because the mean of its divisors is an integer number (51000050551).

Almost surely, 2^102000101101 is an apocalyptic number.

It is an amenable number.

102000101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000101101 is an equidigital number, since it uses as much as digits as its factorization.

102000101101 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 102000101101 its reverse (101101000201), we get a palindrome (203101101302).

The spelling of 102000101101 in words is "one hundred two billion, one hundred one thousand, one hundred one".